Despite 220V power cable plugged in correctly, my hp psc 2175 is dead and showing no signs of life

Check if the plug is switched to on and *** well on the printer the switch should be on as well.
Otherwise try using another plug outlet. Maybe the one you are using is fried or burned out.
If that does not help it could be that the printers Motherboard has some burned capacitors or a crack or short out circuit board and if that is the case you will have to replace your printers Mother board or planar board as they call it.

Most obvious thing to do first is to check if the wall plug has got power, plug any other electrical device into this and confrim operation. Next using the power lead of the printer plug that into another device that utilizes the same plug type to confirm there is no break in the cable and power is going through. As 1alexh suggested above check the voltage setting but alas if it was set for 110 V and you use 220 V then the powersupply will be fried. If the printer uses an integral ac/dc supply then possibly a fuse has blown and replacing it might solve the problem. If it uses an external adaptor this might present a problem as it is a sealed unit and not that easy to open up to get at.

Forgive a somewhat silly question ... on the back of the printer, or on the power brick, into which the a/c power goes, and from which a cable goes to the device itself, there might be a slide switch, which is hard to push in either direction. This switch will convert the power from 120 to 220 and, depending upon the country in which you are trying to use this device, you should have slid this switch in the correct direction, to provide the proper level of power for the device.

Are you certain that you have set this to the correct level of power for the device?

Please make sure that you have done so at each place for which this can be done, then power on the device and see if it works.

-a.