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22281138528 = 2531121099563
BaseRepresentation
bin10100110000000011…
…110011000101100000
32010111210220010000220
4110300003303011200
5331112432413103
614122534043040
71416101360355
oct246003630540
963453803026
1022281138528
1194a4138180
124399aa9480
13214117794c
14111524462c
158a6163c53
hex5300f3160

22281138528 has 48 divisors (see below), whose sum is σ = 63805081536. Its totient is φ = 6751859840.

The previous prime is 22281138511. The next prime is 22281138541. The reversal of 22281138528 is 82583118222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) 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 22281138528.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10548726 + ... + 10550837.

It is an arithmetic number, because the mean of its divisors is an integer number (1329272532).

Almost surely, 222281138528 is an apocalyptic number.

It is an amenable number.

22281138528 is an abundant number, since it is smaller than the sum of its proper divisors (41523943008).

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

22281138528 is a wasteful number, since it uses less digits than its factorization.

22281138528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21099587 (or 21099579 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The spelling of 22281138528 in words is "twenty-two billion, two hundred eighty-one million, one hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 21099563 42199126 63298689 84398252 126597378 168796504 232095193 253194756 337593008 464190386 506389512 675186016 696285579 928380772 1012779024 1392571158 1856761544 2025558048 2785142316 3713523088 5570284632 7427046176 11140569264 22281138528