ABC+AC b+BAC+BCA+cab+CBA = 222a+222 b+222 c

Let another number be abc.

Then ACB+BAC+BCA+cab+CBA =122a+212b+221c =122 (a+b+c)+90b+99c.

= 122(a+b+c)+90(b+c)+9c

And 2234 =122×13+648 =122× (4+7+2)+90× 7+9× 2.

So a=4 b=7 c=2

So the other number is 472.

Calculation rules of multiplication:

Number alignment, starting from the right, multiply the first factor by the number on each bit of the second factor, and the end of the number will be aligned with which bit of the second factor.

(1) square of mantissa, written in (full decimal).

(2) The first and last numbers are multiplied and then doubled to write ten digits (all decimal).

(3) The square of the first number is 23× 23 = 52936× 36 =12963× 3 = 9, 6×6=36, all decimal 2×3=6×2= 12, and all decimal 3× 6 = 65.

Oral decision: square of mantissa, mantissa multiplied by the first number and expanded twice, square of the first number.