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22993873920 = 210335473539
BaseRepresentation
bin10101011010100010…
…101010110000000000
32012100111000211012000
4111122202222300000
5334042412431140
614321354304000
71442544463203
oct253242526000
965314024160
1022993873920
11982a495896
124558728000
132225a25974
141181b7593a
158e89eea30
hex55a8aac00

22993873920 has 352 divisors, whose sum is σ = 83478297600. Its totient is φ = 5999542272.

The previous prime is 22993873919. The next prime is 22993873937. The reversal of 22993873920 is 2937839922.

It is a happy number.

22993873920 is a `hidden beast` number, since 229 + 9 + 387 + 39 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495511 + ... + 6499049.

Almost surely, 222993873920 is an apocalyptic number.

22993873920 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 22993873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41739148800).

22993873920 is an abundant number, since it is smaller than the sum of its proper divisors (60484423680).

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

22993873920 is a wasteful number, since it uses less digits than its factorization.

22993873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 22993873920 in words is "twenty-two billion, nine hundred ninety-three million, eight hundred seventy-three thousand, nine hundred twenty".