I want to power it from batteries and not from the outlet.
The string consists of 3 parallel strings of 28 leds, which I can power separately.
Originally, the output of the controller is 220 v and on the first 5 leds of each string there is a resistor of 4.2k, which gives us ~21k.
From a test with batteries I performed on a single led from the string, it has a voltage drop of 2.01V. It suggests that the operating current was (220-33*2.01)/21k=7.3mA, which seems reasonable - with this current I get a reasonable light from the led and no burning smell. With about 16 mA I get about the same light and a burning smell.
The straightforward solution I think would be to connect 2 leds + 200 Ohm resistor in a series to a 6v battery pack to get ~10mA operating current, and to connect many such units to the batteries. Probably there is a better solution?
How can I drive more then 2 leds in chain with a 6v battery pack?