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22275264 = 2631153199
BaseRepresentation
bin101010011111…
…0010011000000
31112220200220210
41110332103000
521200302024
62113234120
7360223314
oct124762300
945820823
1022275264
1111634810
127562940
1347cbc3b
142d5bb44
151e50129
hex153e4c0

22275264 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 6589440.

The previous prime is 22275263. The next prime is 22275269. The reversal of 22275264 is 46257222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22275263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111837 + ... + 112035.

Almost surely, 222275264 is an apocalyptic number.

22275264 is a gapful number since it is divisible by the number (24) 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 22275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

22275264 is an abundant number, since it is smaller than the sum of its proper divisors (43561536).

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

22275264 is a wasteful number, since it uses less digits than its factorization.

22275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 22275264 is about 4719.6677849188. The cubic root of 22275264 is about 281.3677298725.

The spelling of 22275264 in words is "twenty-two million, two hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 199 212 264 318 352 398 424 528 583 597 636 704 796 848 1056 1166 1194 1272 1592 1696 1749 2112 2189 2332 2388 2544 3184 3392 3498 4378 4664 4776 5088 6368 6567 6996 8756 9328 9552 10176 10547 12736 13134 13992 17512 18656 19104 21094 26268 27984 31641 35024 37312 38208 42188 52536 55968 63282 70048 84376 105072 111936 116017 126564 140096 168752 210144 232034 253128 337504 348051 420288 464068 506256 675008 696102 928136 1012512 1392204 1856272 2025024 2784408 3712544 5568816 7425088 11137632 22275264