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22983992352 = 2534192332003
BaseRepresentation
bin10101011001111100…
…111110010000100000
32012022210102210020000
4111121330332100200
5334032400223402
614320402420000
71442364466026
oct253174762040
965283383200
1022983992352
119824956702
124555361600
132223975c99
141180722716
158e7bebc1c
hex559f3e420

22983992352 has 240 divisors, whose sum is σ = 71493982560. Its totient is φ = 7223344128.

The previous prime is 22983992347. The next prime is 22983992359. The reversal of 22983992352 is 25329938922.

22983992352 is a `hidden beast` number, since 229 + 8 + 399 + 23 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22983992359) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11473783 + ... + 11475785.

It is an arithmetic number, because the mean of its divisors is an integer number (297891594).

Almost surely, 222983992352 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 22983992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35746991280).

22983992352 is an abundant number, since it is smaller than the sum of its proper divisors (48509990208).

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

22983992352 is a wasteful number, since it uses less digits than its factorization.

22983992352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2260 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 22983992352 in words is "twenty-two billion, nine hundred eighty-three million, nine hundred ninety-two thousand, three hundred fifty-two".