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22249656 = 233211132161
BaseRepresentation
bin101010011100…
…0000010111000
31112212101210100
41110320002320
521143442111
62112515400
7360055542
oct124700270
945771710
1022249656
1111617550
12754bb60
1347c03a0
142d52692
151e47756
hex15380b8

22249656 has 96 divisors (see below), whose sum is σ = 70827120. Its totient is φ = 6220800.

The previous prime is 22249649. The next prime is 22249673. The reversal of 22249656 is 65694222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22249656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9216 + ... + 11376.

Almost surely, 222249656 is an apocalyptic number.

22249656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22249656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35413560).

22249656 is an abundant number, since it is smaller than the sum of its proper divisors (48577464).

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

22249656 is a wasteful number, since it uses less digits than its factorization.

22249656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2190 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 22249656 is about 4716.9541019603. The cubic root of 22249656 is about 281.2598669131.

The spelling of 22249656 in words is "twenty-two million, two hundred forty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2161 2574 3432 4322 5148 6483 8644 10296 12966 17288 19449 23771 25932 28093 38898 47542 51864 56186 71313 77796 84279 95084 112372 142626 155592 168558 190168 213939 224744 252837 285252 309023 337116 427878 505674 570504 618046 674232 855756 927069 1011348 1236092 1711512 1854138 2022696 2472184 2781207 3708276 5562414 7416552 11124828 22249656