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Since the sum of the digits is 4 it is one of these
4, 13, 22, 31, or 40
half of 4 is 2 which is even, not odd. So 4 is out.
half of 13 in not a whole number, so 13 is out
half of 22 is 11. Hey that's odd. That is an answer.
But let's make sure there's not another one.
half of 31 in not a whole number, so 31 is out
half of 40 is 20 which is even not odd, so 40 is out.
So the answer is 22.
Edwin