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22682000957 = 71113913271597
BaseRepresentation
bin10101000111111100…
…111101111000111101
32011112202012000220112
4111013330331320331
5332423043012312
614230413555405
71432036553450
oct250774757075
964482160815
1022682000957
11968a442040
1244901a5b65
1321a622b955
141152591497
158cb447d22
hex547f3de3d

22682000957 has 32 divisors (see below), whose sum is σ = 28521615360. Its totient is φ = 17522930880.

The previous prime is 22682000951. The next prime is 22682000963. The reversal of 22682000957 is 75900028622.

It is an interprime number because it is at equal distance from previous prime (22682000951) and next prime (22682000963).

It is not a de Polignac number, because 22682000957 - 210 = 22681999933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22682000951) 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 31 ways as a sum of consecutive naturals, for example, 14202083 + ... + 14203679.

It is an arithmetic number, because the mean of its divisors is an integer number (891300480).

Almost surely, 222682000957 is an apocalyptic number.

22682000957 is the 122969-th pentagonal number.

It is an amenable number.

22682000957 is a deficient number, since it is larger than the sum of its proper divisors (5839614403).

22682000957 is a wasteful number, since it uses less digits than its factorization.

22682000957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 22682000957 in words is "twenty-two billion, six hundred eighty-two million, nine hundred fifty-seven", and thus it is an aban number.

Divisors: 1 7 11 77 139 973 1327 1529 1597 9289 10703 11179 14597 17567 102179 122969 184453 221983 1291171 1553881 2028983 2119219 2441813 14202881 14834533 17092691 23311409 163179863 294571441 2062000087 3240285851 22682000957