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23005738400 = 255228757173
BaseRepresentation
bin10101011011001111…
…111011010110100000
32012101022100121012012
4111123033323112200
5334103432112100
614322500452052
71443050356421
oct253317732640
965338317165
1023005738400
119836159847
1245606aa028
13222831b078
141183583648
158e9a95135
hex55b3fb5a0

23005738400 has 36 divisors (see below), whose sum is σ = 56162760822. Its totient is φ = 9202295040.

The previous prime is 23005738303. The next prime is 23005738429. The reversal of 23005738400 is 483750032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12739185424 + 10266552976 = 112868^2 + 101324^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14377787 + ... + 14379386.

Almost surely, 223005738400 is an apocalyptic number.

23005738400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23005738400 is an abundant number, since it is smaller than the sum of its proper divisors (33157022422).

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

23005738400 is a wasteful number, since it uses less digits than its factorization.

23005738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28757193 (or 28757180 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 23005738400 in words is "twenty-three billion, five million, seven hundred thirty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 28757173 57514346 115028692 143785865 230057384 287571730 460114768 575143460 718929325 920229536 1150286920 1437858650 2300573840 2875717300 4601147680 5751434600 11502869200 23005738400