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23125527000 = 2333531961739
BaseRepresentation
bin10101100010011000…
…111000100111011000
32012200122202111021000
4111202120320213120
5334330113331000
614342420145000
71446033510342
oct254230704730
965618674230
1023125527000
119897836794
124594838160
13224709c9b4
141195446292
15905358000
hex5626389d8

23125527000 has 512 divisors, whose sum is σ = 85887360000. Its totient is φ = 5738688000.

The previous prime is 23125526999. The next prime is 23125527001. The reversal of 23125527000 is 72552132.

It is an interprime number because it is at equal distance from previous prime (23125526999) and next prime (23125527001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23125527001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31292631 + ... + 31293369.

It is an arithmetic number, because the mean of its divisors is an integer number (167748750).

Almost surely, 223125527000 is an apocalyptic number.

23125527000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23125527000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42943680000).

23125527000 is an abundant number, since it is smaller than the sum of its proper divisors (62761833000).

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

23125527000 is a wasteful number, since it uses less digits than its factorization.

23125527000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 23125527000 in words is "twenty-three billion, one hundred twenty-five million, five hundred twenty-seven thousand".