6$ 22 in the BB v BTN minraise(100/200)

[Kramer]

Blinds: $100/$200
4 players
Converter

Stack sizes:
UTG: $3322
Button: $1940
SB: $2387
Hero: $2351

Pre-flop: (4 players) Hero is BB with 2[img]/images/graemlins/diamond.gif[/img] 2[img]/images/graemlins/heart.gif[/img]
UTG folds, <font color="#cc0000">Button raises to $400</font>, SB calls, Hero folds.

BTN and SB are very loose.
SB had about 4000 then lost half by making stupid calls .
The minraise is the standard method to steal blinds in a 6$ STT.
What is the smalles PP you would push here?
What about the smallest A?