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

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

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $22,222,222,222,222$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $22,222,222,222,222$
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