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22085112 = 2337472797
BaseRepresentation
bin101010000111…
…1110111111000
31112120001002010
41110033313320
521123210422
62105205520
7355502040
oct124176770
945501063
1022085112
1111514965
1274908a0
13476351a
142d0c720
151e13b0c
hex150fdf8

22085112 has 64 divisors (see below), whose sum is σ = 64465920. Its totient is φ = 6173568.

The previous prime is 22085081. The next prime is 22085123. The reversal of 22085112 is 21158022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6498 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (1007280).

Almost surely, 222085112 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 22085112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32232960).

22085112 is an abundant number, since it is smaller than the sum of its proper divisors (42380808).

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

22085112 is a wasteful number, since it uses less digits than its factorization.

22085112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 22085112 is about 4699.4799712309. The cubic root of 22085112 is about 280.5648122830.

The spelling of 22085112 in words is "twenty-two million, eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 2797 3948 5594 7896 8391 11188 16782 19579 22376 33564 39158 58737 67128 78316 117474 131459 156632 234948 262918 394377 469896 525836 788754 920213 1051672 1577508 1840426 2760639 3155016 3680852 5521278 7361704 11042556 22085112