That's not how you calculate the resistor...
You suppose the worst case, ie the button is always closed, so the resistor should not burn. Suppose you want to dissipate 4 watts max, because you don't want to use a fan, so P = V²/R, this gives you the resistor value, in your case about 15k. Then you calculate the charge time to, say, 80%, which is about 3 seconds. If you need faster, then get a smaller resistor, like 2.2k 25W, which is going to be quite expensive, or do it ghetto style, use a 230V 10W lightbulb as the resistor.