Ok, I found out why my Wiimotes was going thru batteries like 'nowt. The Wiimote, if not paired with a Wii, will flash the blue LEDs if you push any button. What you don't know is the Wiimote is also attempting to pair with a Wii, and nuking the batteries at the same time. AND - when the Wii switches WiiChannel, it re-pairs the Wiinotes again (watch your Wiimotes LEDs switch off and on!)
So, when your Wii is off (!), try to keep your Wiimotes button side up, cos button pressing will drain your batteries...
(I have a piece of kit that allows me to monitor Bluetooth radio signals and it proved that the Wiimote goes BT mad if a Wii isn't on nearby. Also it proved that the Wiimote doesn't always reconnect when WiiChannel switching)
