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22624006468 = 2271610350177
BaseRepresentation
bin10101000100011111…
…101111000101000100
32011101201001121102111
4111010133233011010
5332313221201333
614220542550404
71430433611350
oct250437570504
964351047374
1022624006468
11965a730a08
124474898404
13219720479b
1411489b6460
158c62de4cd
hex5447ef144

22624006468 has 24 divisors (see below), whose sum is σ = 45251724672. Its totient is φ = 9695207424.

The previous prime is 22624006451. The next prime is 22624006499. The reversal of 22624006468 is 86460042622.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22624006468.

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 7 ways as a sum of consecutive naturals, for example, 425796 + ... + 475972.

It is an arithmetic number, because the mean of its divisors is an integer number (1885488528).

Almost surely, 222624006468 is an apocalyptic number.

22624006468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22624006468 is an abundant number, since it is smaller than the sum of its proper divisors (22627718204).

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

22624006468 is a wasteful number, since it uses less digits than its factorization.

22624006468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66291 (or 66289 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 22624006468 in words is "twenty-two billion, six hundred twenty-four million, six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 16103 32206 50177 64412 100354 112721 200708 225442 351239 450884 702478 1404956 808000231 1616000462 3232000924 5656001617 11312003234 22624006468