Kaprekar Number/Examples/22,222,222,222,222

From ProofWiki
Jump to navigation Jump to search

Example of Kaprekar Number

$22 \, 222 \, 222 \, 222 \, 222$ is a Kaprekar number:

\(\ds 22 \, 222 \, 222 \, 222 \, 222^2\) \(=\) \(\ds 493 \, 827 \, 160 \, 493 \, 817 \, 283 \, 950 \, 617 \, 284\)
\(\ds 4 \, 938 \, 271 \, 604 \, 938 + 17 \, 283 \, 950 \, 617 \, 284\) \(=\) \(\ds 22 \, 222 \, 222 \, 222 \, 222\)


Sources