Want to see what more it can do, then test and find out. That's how others got there.
The Gpu Boost algorithm is the main obstacle standing in the way. It has free reign over gpu core clock and can bring down/up frequency the warmer/cooler the core runs as well as how frequently the power limit is run into.
Higher clocks need more voltage, more voltage means more power, more power means more heat to expel.
What are the odds of the core holding 2200mhz except in very light loads? Because if it doesn't hold that in multiple scenarios, then it's not really 2200mhz stable, is it?
There's Gpu-Z, hwinfo, afterburner, etc., you can monitor the core temperature and other parameters and see what it does.