Ok, here is the simple math for simple people (like me)
2200mah= 2.2 amp hours (means the battery will last 1 hour at 2.2 amp draw.
25c= charge/discharge rate. 50c=max charge/discharge rate. (in a perfect world, of course)
2.2 x 25 = 55amps Perfect world discharge rate
Using a wattmeter (anyone serious about the hobby should have one for setup purposes), you can get an amperage readout while running your motor/prop combo, and see if you are getting near to the advertised rates, and if you are near to burning your esc, or motor.
I always figure out what the weight of the plane is, how I intend to fly it, what wattage I need to fly that way. Then I figure out what battery I need to attain said wattage. That tells me what esc, and motor I need to operate at those levels, then I prop it to the level I want.
So, a 2lb plane, at 150 watts per lb, =300watts. 300watts divided by 11.1, (a 3s battery)= 27.07 amps. lets say, 27.07 amps divided by 20c=1.35 amp hours=1350mah . So, in a perfect world, I would need a 1350 mah, 20c, 3s battery, a 30 amp esc, and a motor that can withstand 300watts/30 amps, and prop it accordingly.
Just saying that the "c"ratings are a bunch of crap doesn't work in my world. Get a meter and prove it.