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23252996928 = 2637591272309
BaseRepresentation
bin10101101001111111…
…001001001101000000
32020000112121122010110
4111221333021031000
5340110231400203
614403212231320
71452142132650
oct255177111500
966015548113
1023252996928
11995278a837
12460b46b540
1322676109a5
1411a8348360
15911636d03
hex569fc9340

23252996928 has 224 divisors, whose sum is σ = 72098611200. Its totient is φ = 6476875776.

The previous prime is 23252996911. The next prime is 23252996957. The reversal of 23252996928 is 82969925232.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×232529969282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10069438 + ... + 10071746.

It is an arithmetic number, because the mean of its divisors is an integer number (321868800).

Almost surely, 223252996928 is an apocalyptic number.

23252996928 is a gapful number since it is divisible by the number (28) 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 23252996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049305600).

23252996928 is an abundant number, since it is smaller than the sum of its proper divisors (48845614272).

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

23252996928 is a wasteful number, since it uses less digits than its factorization.

23252996928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2507 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The spelling of 23252996928 in words is "twenty-three billion, two hundred fifty-two million, nine hundred ninety-six thousand, nine hundred twenty-eight".