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22228574145631 = 7310140110331549
BaseRepresentation
bin1010000110111011111100…
…10001000000110001011111
32220201000211112220001000021
411003131332101000301133
510403143104440130011
6115135355504213011
74452650534506000
oct503357621006137
986630745801007
1022228574145631
1170a00a3675607
1225b006860a167
13c531b79ca849
1456bc23b151a7
15288339b61471
hex14377e440c5f

22228574145631 has 64 divisors (see below), whose sum is σ = 26286844320000. Its totient is φ = 18787023360000.

The previous prime is 22228574145611. The next prime is 22228574145637. The reversal of 22228574145631 is 13654147582222.

It is not a de Polignac number, because 22228574145631 - 25 = 22228574145599 is a prime.

It is a super-2 number, since 2×222285741456312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22228574145637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14350273045 + ... + 14350274593.

It is an arithmetic number, because the mean of its divisors is an integer number (410731942500).

Almost surely, 222228574145631 is an apocalyptic number.

22228574145631 is a deficient number, since it is larger than the sum of its proper divisors (4058270174369).

22228574145631 is a wasteful number, since it uses less digits than its factorization.

22228574145631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3091 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 52.

The spelling of 22228574145631 in words is "twenty-two trillion, two hundred twenty-eight billion, five hundred seventy-four million, one hundred forty-five thousand, six hundred thirty-one".

Divisors: 1 7 49 101 343 401 707 1033 1549 2807 4949 7231 10843 19649 34643 40501 50617 75901 104333 137543 156449 283507 354319 414233 531307 621149 730331 1095143 1600117 1984549 2899631 4348043 5112317 7666001 11200819 13891843 20297417 30436301 35786219 41837533 53662007 62736049 78405733 142081919 161611817 213054107 292862731 439152343 548840131 641646917 1131282719 2050039117 3074066401 4491528419 7918979033 14350273819 21518464807 31440698933 55432853231 64806338617 220084892531 453644370319 3175510592233 22228574145631