Wednesday, July 3, 2013

2222

2222 = 2 x 11 x 101.

All of the divisors of 2222 are palindromic (A062687).

2222 is the smallest number divisible by a 1-digit prime, a 2-digit prime, and a 3-digit prime.

2222 = 21 + 22 + 23 + 25 + 27 + 211.

The sum of the reciprocals of the digits of 2222 is an integer (A034708).

The cubic powers 23 = 8; 223 = 10,648; 2223 = 10,941,048; 22223 = 10,970,645,048; 222223 = 10,973,607,685,048; and 2222223 = 10,973,903,978,085,048 do not use the digit 2.


Source: Number Gossip

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