Might be able to handle minesweeper
It won't play any modern games, the GeForce 8200 is not a gaming card, The absolute minimum I'd recommend for gaming is a ATi HD5670.
BTW, You don't multiply the number of cores/threads by the Ghz.
For example my processor is not 32Ghz (8 threads x 4Ghz). Its just 4Ghz.
And yours is 2.6Ghz, not 10.4Ghz