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22260906272 = 251125749201
BaseRepresentation
bin10100101110110110…
…100111100100100000
32010110101211012121002
4110232312213210200
5331042243000042
614120532251132
71415434403243
oct245666474440
963411735532
1022260906272
119493779400
124393170aa8
132139c128b7
14111269925a
158a44b9132
hex52eda7920

22260906272 has 36 divisors (see below), whose sum is σ = 48172563558. Its totient is φ = 10118592000.

The previous prime is 22260906257. The next prime is 22260906289. The reversal of 22260906272 is 27260906222.

It can be written as a sum of positive squares in only one way, i.e., 18139779856 + 4121126416 = 134684^2 + 64196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2870729 + ... + 2878472.

Almost surely, 222260906272 is an apocalyptic number.

22260906272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22260906272 is an abundant number, since it is smaller than the sum of its proper divisors (25911657286).

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

22260906272 is a wasteful number, since it uses less digits than its factorization.

22260906272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749233 (or 5749214 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 22260906272 in words is "twenty-two billion, two hundred sixty million, nine hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5749201 11498402 22996804 45993608 63241211 91987216 126482422 183974432 252964844 505929688 695653321 1011859376 1391306642 2023718752 2782613284 5565226568 11130453136 22260906272