I'm getting an error 244 or 223 when receiving a fax. the fax only partially prints out

This error indicates that the receiving machine (receiver) cannot receive the fax you just sent. The reasons might be unexpected shutdown of the machine (Receiver's machine) just before it completely received [or partially printed] the file you had sent or power failure during the process.
Another reason is, when we send color fax from Hp machine to another Machine (non-hp), this happens due to incompatibility issue.
Solutions are;
1. Restart both the machine after deleting the recently sent/received fax.
2. Send black and white only, not color.
3. Try again after the phone line seems not much busy which means when there's better transmission capability.

Good luck.

Thanks for using FixYa.

The fixing assembly (The hot rollers) of the printer is faulty. This need to be replaced by a service technician.
Faxes are received in memory because they cannot be printed.

B-CRT is just asking for a new black cartridge, fax will not print until it's replaced so you don't get a partial fax that you can't get back after printing.

This means that an error occurred during transmission after one or more partial pages were sent. The sending machine was unable to restart the control channel connection(handshake) before sending more data. This error typically occurs when the receiving fax disconnects after receiving part of a page. It can also be caused if the receiving fax is using a fax format incompatible with the HP fax (usually during color faxing) or the line speed drops to an unacceptable level.

Solutions

Check that the phone cord is plugged in correctly and is not cut, creased or damaged.

Make sure that the phone connection terminal box is not damaged and that the cable connecting to it is not damaged.

Try the fax at a different time when telephone line conditions have improved.

Per HP:

Definition

An error occurred during transmission after one or more partial pages were sent. The sending machine was unable to restart the control channel connection(handshake) before sending more data. This error typically occurs when the receiving fax disconnects after receiving part of a page. It can also be caused if the receiving fax is using a fax format incompatible with the HP fax (usually during color faxing).

Solution

Try the fax at a different time when telephone line conditions have improved.

1 Press Setup.
2 Press 1, then press 1.
This selects Print Report and then selects Automatic Reports Setup.
3 Press ! to scroll through the following report types:
– Every Error: prints whenever there is any kind of fax error (default).
– Send Error: prints whenever there is a transmission error.
– Receive Error: prints whenever there is a receiving error.
– Every Fax: confirms every time a fax is sent or received.
– Send Only: prints every time a fax is sent.
– Off: does not print fax reports.
Note: If you select Send Only, you will also receive error reports if there is
any kind of error generated.
4 Press OK to select a report

More information? you can download manual here
http://h10032.www1.hp.com/ctg/Manual/c00095626.pdf

232-A communication failure has occurred between the two machines.
327-*Reattempt the fax reception at a different time when telephone line conditions have improved. Call the telephone provider if line conditions fail to improve.
356-The remote user has pressed the Stop key, causing the session to be aborted.
442-An error occurred during transmission after one or more partial pages had been sent. The transmitting machine was unable to restart the control channel (handshaking) before sending more data. This error typically occurs when the receiving fax disconnects after receiving part of a page but can also occur if the receiving fax is using a fax format that is incompatible with the HP fax machine (usually during color faxing).

You can configure your HP all-in-one so that it automatically prints error and confirmation reports. If you need printed confirmation each time a fax is sent, follow these instructions before sending any faxes and select Send Only. To set automated report options from the control panel Press Setup. Press 2, and then press 1. This selects Print Report and then selects Fax Report Setup. Press to scroll through the following report types: Every Error: prints whenever there is any kind of fax error (default). Send Error: prints whenever there is a transmission error. Receive Error: prints whenever there is a receiving error. Every Fax: confirms every time a fax is sent or received. Send Only: prints every time a fax is sent indicating whether the fax was successfully sent or not. Off: does not print any error or confirmation reports. Press OK to select the report.

its a fax error that states there is a line problem, problem is probably static in the phone line

Please check rear door area for paper, can you use manual feed slot? Power off machine with all jams removed and paper loaded, then power on, can you tell us exact error message/lights that are shown in this state?