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22125153504 = 253979123539
BaseRepresentation
bin10100100110110000…
…110000110011100000
32010002221101020210210
4110212300300303200
5330303014403004
614055242454120
71412165462466
oct244660606340
963087336723
1022125153504
119424088333
124355804340
132117a6180c
1410dc63c836
15897601089
hex526c30ce0

22125153504 has 48 divisors (see below), whose sum is σ = 58086927360. Its totient is φ = 7373984640.

The previous prime is 22125153419. The next prime is 22125153521. The reversal of 22125153504 is 40535152122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928167 + ... + 951705.

It is an arithmetic number, because the mean of its divisors is an integer number (1210144320).

Almost surely, 222125153504 is an apocalyptic number.

22125153504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22125153504 is an abundant number, since it is smaller than the sum of its proper divisors (35961773856).

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

22125153504 is a wasteful number, since it uses less digits than its factorization.

22125153504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33343 (or 33335 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 22125153504 in words is "twenty-two billion, one hundred twenty-five million, one hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 9791 19582 23539 29373 39164 47078 58746 70617 78328 94156 117492 141234 156656 188312 234984 282468 313312 376624 469968 564936 753248 939936 1129872 2259744 230470349 460940698 691411047 921881396 1382822094 1843762792 2765644188 3687525584 5531288376 7375051168 11062576752 22125153504