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22325954904 = 23321122562667
BaseRepresentation
bin10100110010101110…
…110000100101011000
32010121221020000112200
4110302232300211120
5331210421024104
614131214410200
71420154325351
oct246256604530
963557200480
1022325954904
119517468400
1243b0b00960
13214a539806
14111b18cd28
158aa067b39
hex532bb0958

22325954904 has 72 divisors (see below), whose sum is σ = 66462794580. Its totient is φ = 6765438240.

The previous prime is 22325954891. The next prime is 22325954909. The reversal of 22325954904 is 40945952322.

22325954904 is a `hidden beast` number, since 22 + 32 + 59 + 549 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×223259549043 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22325954904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22325954909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1272622 + ... + 1290045.

Almost surely, 222325954904 is an apocalyptic number.

22325954904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22325954904 is an abundant number, since it is smaller than the sum of its proper divisors (44136839676).

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

22325954904 is a wasteful number, since it uses less digits than its factorization.

22325954904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562701 (or 2562683 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 22325954904 in words is "twenty-two billion, three hundred twenty-five million, nine hundred fifty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 2562667 5125334 7688001 10250668 15376002 20501336 23064003 28189337 30752004 46128006 56378674 61504008 84568011 92256012 112757348 169136022 184512024 225514696 253704033 310082707 338272044 507408066 620165414 676544088 930248121 1014816132 1240330828 1860496242 2029632264 2480661656 2790744363 3720992484 5581488726 7441984968 11162977452 22325954904