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23640221952 = 28361959113
BaseRepresentation
bin10110000001000100…
…010010100100000000
32021000112020201000000
4112001010102210000
5341403344100302
614505444000000
71464553366614
oct260104224400
967015221000
1023640221952
11a03131a716
1246b9090000
1322c98cb619
141203945344
1593562531c
hex581112900

23640221952 has 504 divisors, whose sum is σ = 76405946400. Its totient is φ = 7273857024.

The previous prime is 23640221897. The next prime is 23640221963. The reversal of 23640221952 is 25912204632.

23640221952 is a `hidden beast` number, since 2 + 3 + 640 + 2 + 2 + 1 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209205448 + ... + 209205560.

It is an arithmetic number, because the mean of its divisors is an integer number (151599100).

Almost surely, 223640221952 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 23640221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38202973200).

23640221952 is an abundant number, since it is smaller than the sum of its proper divisors (52765724448).

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

23640221952 is an equidigital number, since it uses as much as digits as its factorization.

23640221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23640221952 in words is "twenty-three billion, six hundred forty million, two hundred twenty-one thousand, nine hundred fifty-two".