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22400981952 = 263193604517
BaseRepresentation
bin10100110111001100…
…111101101111000000
32010211011101210022020
4110313030331233000
5331334122410302
614142454441440
71422055130166
oct246714755700
963734353266
1022400981952
119555852328
124412063280
13215cc4850b
14112711d236
158b1937ebc
hex53733dbc0

22400981952 has 56 divisors (see below), whose sum is σ = 59576457936. Its totient is φ = 7428292608.

The previous prime is 22400981947. The next prime is 22400981959. The reversal of 22400981952 is 25918900422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400981959) 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 7 ways as a sum of consecutive naturals, for example, 265203 + ... + 339314.

Almost surely, 222400981952 is an apocalyptic number.

It is an amenable number.

22400981952 is an abundant number, since it is smaller than the sum of its proper divisors (37175475984).

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

22400981952 is a wasteful number, since it uses less digits than its factorization.

22400981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604725 (or 604715 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 22400981952 in words is "twenty-two billion, four hundred million, nine hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 37056 604517 1209034 1813551 2418068 3627102 4836136 7254204 9672272 14508408 19344544 29016816 38689088 58033632 116067264 116671781 233343562 350015343 466687124 700030686 933374248 1400061372 1866748496 2800122744 3733496992 5600245488 7466993984 11200490976 22400981952