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22344202122 = 23111961728879
BaseRepresentation
bin10100110011110100…
…010111011110001010
32010200012120002000120
4110303310113132022
5331230103431442
614133105444110
71420465404264
oct246364273612
963605502016
1022344202122
1195267a0850
1243b7040636
132151258198
14111d77cb34
158ab96e4ec
hex533d1778a

22344202122 has 64 divisors (see below), whose sum is σ = 51401779200. Its totient is φ = 6403985280.

The previous prime is 22344202091. The next prime is 22344202123. The reversal of 22344202122 is 22120244322.

It is a junction number, because it is equal to n+sod(n) for n = 22344202092 and 22344202101.

It is not an unprimeable number, because it can be changed into a prime (22344202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759279 + ... + 788157.

It is an arithmetic number, because the mean of its divisors is an integer number (803152800).

Almost surely, 222344202122 is an apocalyptic number.

22344202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22344202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700889600).

22344202122 is an abundant number, since it is smaller than the sum of its proper divisors (29057577078).

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

22344202122 is a wasteful number, since it uses less digits than its factorization.

22344202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29531.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22344202122 its reverse (22120244322), we get a palindrome (44464446444).

The spelling of 22344202122 in words is "twenty-two billion, three hundred forty-four million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 617 627 1234 1254 1851 3702 6787 11723 13574 20361 23446 28879 35169 40722 57758 70338 86637 128953 173274 257906 317669 386859 548701 635338 773718 953007 1097402 1646103 1906014 3292206 6035711 12071422 17818343 18107133 35636686 36214266 53455029 106910058 196001773 338548517 392003546 588005319 677097034 1015645551 1176010638 2031291102 3724033687 7448067374 11172101061 22344202122