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22953007725 = 3521729620771
BaseRepresentation
bin10101011000000110…
…110001101001101101
32012020122010121022020
4111120012301221231
5334001432221400
614313334340353
71441540226604
oct253006615155
965218117266
1022953007725
11980941347a
124546aba6b9
13221a417a9b
14117a578a3b
158e512b2a0
hex5581b1a6d

22953007725 has 48 divisors (see below), whose sum is σ = 41566893120. Its totient is φ = 11124198400.

The previous prime is 22953007681. The next prime is 22953007751. The reversal of 22953007725 is 52770035922.

It is not a de Polignac number, because 22953007725 - 26 = 22953007661 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 273411 + ... + 347360.

It is an arithmetic number, because the mean of its divisors is an integer number (865976940).

Almost surely, 222953007725 is an apocalyptic number.

22953007725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22953007725 is a deficient number, since it is larger than the sum of its proper divisors (18613885395).

22953007725 is a wasteful number, since it uses less digits than its factorization.

22953007725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620830 (or 620825 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 22953007725 in words is "twenty-two billion, nine hundred fifty-three million, seven thousand, seven hundred twenty-five".

Divisors: 1 3 5 15 17 25 29 51 75 85 87 145 255 425 435 493 725 1275 1479 2175 2465 7395 12325 36975 620771 1862313 3103855 9311565 10553107 15519275 18002359 31659321 46557825 52765535 54007077 90011795 158296605 263827675 270035385 306040103 450058975 791483025 918120309 1350176925 1530200515 4590601545 7651002575 22953007725