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22089888 = 253337691
BaseRepresentation
bin101010001000…
…1000010100000
31112120021122000
41110101002200
521123334023
62105244000
7355522002
oct124210240
945507560
1022089888
1111518507
127493600
134765752
142d10372
151e15243
hex15110a0

22089888 has 96 divisors (see below), whose sum is σ = 66265920. Its totient is φ = 7153920.

The previous prime is 22089883. The next prime is 22089911. The reversal of 22089888 is 88898022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22089883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31623 + ... + 32313.

It is an arithmetic number, because the mean of its divisors is an integer number (690270).

Almost surely, 222089888 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 22089888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33132960).

22089888 is an abundant number, since it is smaller than the sum of its proper divisors (44176032).

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

22089888 is a wasteful number, since it uses less digits than its factorization.

22089888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 22089888 is about 4699.9880850913. The cubic root of 22089888 is about 280.5850352725.

The spelling of 22089888 in words is "twenty-two million, eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 691 864 888 999 1184 1332 1382 1776 1998 2073 2664 2764 3552 3996 4146 5328 5528 6219 7992 8292 10656 11056 12438 15984 16584 18657 22112 24876 25567 31968 33168 37314 49752 51134 66336 74628 76701 99504 102268 149256 153402 199008 204536 230103 298512 306804 409072 460206 597024 613608 690309 818144 920412 1227216 1380618 1840824 2454432 2761236 3681648 5522472 7363296 11044944 22089888