# Probability 1/8100 to guess it successfully

I am given 2 four-digit positive integers $$A = \overline{xyzw}$$ and $$B = \overline{wzyx}$$ such that:

1. If $$A$$ is divided by the sum of its digits, it gives a quotient of 327 and remainder of 14.

2. If $$B$$ is divided by the sum of its digits, it gives a quotient of 227 and remainder of 16.

Find the value of the integer $$A$$.

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