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23238151200 = 253252112312757
BaseRepresentation
bin10101101001000110…
…100000110000100000
32012222111200101121200
4111221012200300200
5340042431314300
614401522121200
71451602011645
oct255106406040
965874611550
1023238151200
11994536aa40
1246064b0200
132264513634
1411a63a1dcc
159101a3200
hex5691a0c20

23238151200 has 432 divisors, whose sum is σ = 93286904256. Its totient is φ = 5388134400.

The previous prime is 23238151169. The next prime is 23238151201. The reversal of 23238151200 is 215183232.

23238151200 is a `hidden beast` number, since 2 + 32 + 381 + 51 + 200 = 666.

It is a super-2 number, since 2×232381512002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23238151201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1815222 + ... + 1827978.

It is an arithmetic number, because the mean of its divisors is an integer number (215941908).

Almost surely, 223238151200 is an apocalyptic number.

23238151200 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 23238151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46643452128).

23238151200 is an abundant number, since it is smaller than the sum of its proper divisors (70048753056).

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

23238151200 is a wasteful number, since it uses less digits than its factorization.

23238151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12817 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23238151200 in words is "twenty-three billion, two hundred thirty-eight million, one hundred fifty-one thousand, two hundred".