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22104802368 = 26331147109227
BaseRepresentation
bin10100100101100011…
…001000010001000000
32010001112002022022000
4110211203020101000
5330232312133433
614053234344000
71411530501645
oct244543102100
963045068260
1022104802368
119413648210
12434aa2b000
13211378761c
1410d9a61dcc
15895931113
hex5258c8440

22104802368 has 448 divisors, whose sum is σ = 73386086400. Its totient is φ = 6467143680.

The previous prime is 22104802339. The next prime is 22104802373. The reversal of 22104802368 is 86320840122.

22104802368 is a `hidden beast` number, since 2 + 210 + 4 + 80 + 2 + 368 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97377871 + ... + 97378097.

Almost surely, 222104802368 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 22104802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36693043200).

22104802368 is an abundant number, since it is smaller than the sum of its proper divisors (51281284032).

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

22104802368 is a wasteful number, since it uses less digits than its factorization.

22104802368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22104802368 in words is "twenty-two billion, one hundred four million, eight hundred two thousand, three hundred sixty-eight".