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22874112 = 211321773
BaseRepresentation
bin101011101000…
…0100000000000
31121001010101100
41113100200000
521323432422
62134134400
7365266242
oct127204000
947033340
1022874112
1111a03728
1277b1400
13497b6a1
143076092
15201c7ac
hex15d0800

22874112 has 144 divisors (see below), whose sum is σ = 70909020. Its totient is φ = 7077888.

The previous prime is 22874087. The next prime is 22874147. The reversal of 22874112 is 21147822.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 746496 = 4704^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 313308 + ... + 313380.

Almost surely, 222874112 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 22874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35454510).

22874112 is an abundant number, since it is smaller than the sum of its proper divisors (48034908).

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

22874112 is a wasteful number, since it uses less digits than its factorization.

22874112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 22874112 is about 4782.6887835192. The cubic root of 22874112 is about 283.8668952406.

The spelling of 22874112 in words is "twenty-two million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 73 96 102 128 136 144 146 153 192 204 219 256 272 288 292 306 384 408 438 512 544 576 584 612 657 768 816 876 1024 1088 1152 1168 1224 1241 1314 1536 1632 1752 2048 2176 2304 2336 2448 2482 2628 3072 3264 3504 3723 4352 4608 4672 4896 4964 5256 6144 6528 7008 7446 8704 9216 9344 9792 9928 10512 11169 13056 14016 14892 17408 18432 18688 19584 19856 21024 22338 26112 28032 29784 34816 37376 39168 39712 42048 44676 52224 56064 59568 74752 78336 79424 84096 89352 104448 112128 119136 149504 156672 158848 168192 178704 224256 238272 313344 317696 336384 357408 448512 476544 635392 672768 714816 953088 1270784 1345536 1429632 1906176 2541568 2859264 3812352 5718528 7624704 11437056 22874112