[Charles Babbage](https://en.wikipedia.org/wiki/Charles_Babbage "wp: Charles_Babbage"), looking ahead to the sorts of problems his Analytical Engine would be able to solve, gave this example:
<blockquote>
What is the smallest positive integer whose square ends in the digits 269,696?
<footerstyle='margin-left: 2em;'>Babbage, letter to Lord Bowden, 1837; see Hollingdale and Tootill, <i>Electronic Computers</i>, second edition, 1970, p. 125.</footer>
</blockquote>
He thought the answer might be 99,736, whose square is 9,947,269,696; but he couldn't be certain.
The task is to find out if Babbage had the right answer.
# --instructions--
Implement a function to return the lowest integer that satisfies the Babbage problem. If Babbage was right, return Babbage's number.