In process of selection of components for multirotor, one should start from motor as it is the driving component. Maximum current drawn by your motor is given by manufacture which is 15A. Now your ESC should have maximum current rating more than maximum current rating of motor. This is satisfied in your motor-ESC combination so your selection looks good.
Maximum current that can be obtained from a battery depend on capacity (mAh rating) and constant discharge rating (C rating) and is given by multiplication of both. In your case, battery should be able to give constant 55A (2200x25 = 55000mA). However maximum current that can be drawn by motor is 15A, so you should be able to use this battery with given single motor-ESC combo. However for a quadrotor, total maximum current drawn will be 15x4 = 60A. So you should consider using battery with more mAh rating or more C capacity like this or this.
Also make sure that you do not put any bigger propeller on motor than a recommended one. This action might cause motor to draw more current that maximum rating which might result in burning of motor.