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23208021936 = 2433112359261
BaseRepresentation
bin10101100111010011…
…100100111110110000
32012220101222200001000
4111213103210332300
5340012223200221
614354524242000
71451054634351
oct254723447660
965811880030
1023208021936
11992a361420
1245b83a0300
13225b1c4878
1411a239bd28
1590c700e26
hex5674e4fb0

23208021936 has 480 divisors, whose sum is σ = 78402839040. Its totient is φ = 6504537600.

The previous prime is 23208021931. The next prime is 23208021953. The reversal of 23208021936 is 63912080232.

It is a super-2 number, since 2×232080219362 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23208021936.

It is not an unprimeable number, because it can be changed into a prime (23208021931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380459346 + ... + 380459406.

It is an arithmetic number, because the mean of its divisors is an integer number (163339248).

Almost surely, 223208021936 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 23208021936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39201419520).

23208021936 is an abundant number, since it is smaller than the sum of its proper divisors (55194817104).

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

23208021936 is a wasteful number, since it uses less digits than its factorization.

23208021936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 232080 and 21936, that added together give a square (254016 = 5042).

The spelling of 23208021936 in words is "twenty-three billion, two hundred eight million, twenty-one thousand, nine hundred thirty-six".