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I don't think so.
Power Consumption is the result of appliying the Watt Law, aka Power = Amps * Voltage, in general. So if the computer consumes exactly the same amps when conected to either outlet it will does consume less, but, I hardly think this will happen. If plugged to a 220V outlet it'll suck less amps than plugged to a 110V outlet. In a 110V outlet it'll suck more amps. So as the voltage is minor (110V) the amps consumption will be greater in order to "match" the watts your equipment needs regardless if plugged to a 220V or 110V outlet, in other words it will consume the same watts.
Once I measured my computer(no monitor included) consumed amps at full load and was about 2.4 Amps, it was plugged to a 120V outlet, doing the math, it consumes 2.4/120 = 288 Watts more less.
So in order to confirm what I said, you could measure the amps of your computer when plugged to a 220V outlet and the amps consumed when plugged to a 110V. You'll have different amps values but if you multiply each one by the correspondent voltage I can assure you to have the same wattage results.
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