qav250 flying time

Hi Everyone, I am working on my first quad build. I'll need help with understanding a little into my quad amp requirements and supply with the following parts. Power Supply: Turnigy LiPo Battery: 2200mAh (45C-90C) Assumption: 2.2*45 = 99 Amps Max Draw Power Demand: 4 Arris MT1806-2300kV DC...

I have a qav 250, currently I use 3s 11.1v lipo, I get about 5 min of flying time, how can I increase flying time and how big of battery can this qav250 can handle? Any thoughts, smoked