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22122222122 = 27112131004551
BaseRepresentation
bin10100100110100101…
…100101001000101010
32010002201212022201002
4110212211211020222
5330301242101442
614055055555002
71412131533260
oct244645451052
963081768632
1022122222122
119422465a00
12435482ba62
132117276480
1410dc0b8430
15897222732
hex52696522a

22122222122 has 48 divisors (see below), whose sum is σ = 44891419776. Its totient is φ = 7956036000.

The previous prime is 22122222071. The next prime is 22122222131.

22122222122 is nontrivially palindromic in base 10.

22122222122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22122222094 and 22122222103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480254 + ... + 524297.

It is an arithmetic number, because the mean of its divisors is an integer number (935237912).

Almost surely, 222122222122 is an apocalyptic number.

22122222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22122222122 is an abundant number, since it is smaller than the sum of its proper divisors (22769197654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22122222122 is a wasteful number, since it uses less digits than its factorization.

22122222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004595 (or 1004584 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The spelling of 22122222122 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 1004551 2009102 7031857 11050061 13059163 14063714 22100122 26118326 77350427 91414141 121550671 143650793 154700854 182828282 243101342 287301586 850854697 1005555551 1580158723 1701709394 2011111102 3160317446 11061111061 22122222122