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22424302432 = 257293452017
BaseRepresentation
bin10100111000100101…
…111011001101100000
32010212210021120222201
4110320211323031200
5331411110134212
614145050342544
71422460266010
oct247045731540
963783246881
1022424302432
119567a30354
124419a2aa54
132164a2210c
14112a26dc40
158b39e2b57
hex53897b360

22424302432 has 48 divisors (see below), whose sum is σ = 52194512160. Its totient is φ = 9279019008.

The previous prime is 22424302429. The next prime is 22424302471. The reversal of 22424302432 is 23420342422.

It is a happy number.

It is a super-2 number, since 2×224243024322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22424302432.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1719513 + ... + 1732504.

It is an arithmetic number, because the mean of its divisors is an integer number (1087385670).

Almost surely, 222424302432 is an apocalyptic number.

It is an amenable number.

22424302432 is an abundant number, since it is smaller than the sum of its proper divisors (29770209728).

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

22424302432 is a wasteful number, since it uses less digits than its factorization.

22424302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452063 (or 3452055 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 22424302432 its reverse (23420342422), we get a palindrome (45844644854).

The spelling of 22424302432 in words is "twenty-two billion, four hundred twenty-four million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 3452017 6904034 13808068 24164119 27616136 48328238 55232272 96656476 100108493 110464544 193312952 200216986 386625904 400433972 700759451 773251808 800867944 1401518902 1601735888 2803037804 3203471776 5606075608 11212151216 22424302432