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22680666368 = 28409216617
BaseRepresentation
bin10101000111110111…
…111000000100000000
32011112122200020012022
4111013313320010000
5332422222310433
614230325221012
71432022324513
oct250767700400
964478606168
1022680666368
119689710378
12448b861768
1321a5b82359
141152324d7a
158cb282698
hex547df8100

22680666368 has 36 divisors (see below), whose sum is σ = 45383637180. Its totient is φ = 11312553984.

The previous prime is 22680666361. The next prime is 22680666401. The reversal of 22680666368 is 86366608622.

It can be written as a sum of positive squares in 2 ways, for example, as 20865224704 + 1815441664 = 144448^2 + 42608^2 .

It is a super-2 number, since 2×226806663682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22680666361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3605 + ... + 213012.

Almost surely, 222680666368 is an apocalyptic number.

It is an amenable number.

22680666368 is an abundant number, since it is smaller than the sum of its proper divisors (22702970812).

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

22680666368 is an equidigital number, since it uses as much as digits as its factorization.

22680666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217042 (or 217028 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 22680666368 in words is "twenty-two billion, six hundred eighty million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 409 818 1636 3272 6544 13088 26176 52352 104704 216617 433234 866468 1732936 3465872 6931744 13863488 27726976 55453952 88596353 177192706 354385412 708770824 1417541648 2835083296 5670166592 11340333184 22680666368