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23287574232 = 233213315961223
BaseRepresentation
bin10101101100000011…
…000010111011011000
32020002221200100021100
4111230003002323120
5340143104333412
614410445311400
71453042054266
oct255403027330
966087610240
1023287574232
11997025721a
12461ab65560
132271829230
1411acb89436
159146b6edc
hex56c0c2ed8

23287574232 has 384 divisors, whose sum is σ = 72795340800. Its totient is φ = 6674918400.

The previous prime is 23287574209. The next prime is 23287574239. The reversal of 23287574232 is 23247578232.

23287574232 is a `hidden beast` number, since 23 + 28 + 7 + 574 + 2 + 32 = 666.

It is a super-2 number, since 2×232875742322 (a number of 22 digits) contains 22 as substring.

Its product of digits (1128960) is a multiple of the sum of its prime divisors (392).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23287574239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104428473 + ... + 104428695.

It is an arithmetic number, because the mean of its divisors is an integer number (189571200).

Almost surely, 223287574232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23287574232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36397670400).

23287574232 is an abundant number, since it is smaller than the sum of its proper divisors (49507766568).

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

23287574232 is a wasteful number, since it uses less digits than its factorization.

23287574232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 23287574232 in words is "twenty-three billion, two hundred eighty-seven million, five hundred seventy-four thousand, two hundred thirty-two".