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22683264 = 273193109
BaseRepresentation
bin101011010000…
…1111010000000
31120200102120220
41112201322000
521301331024
62130103040
7363542652
oct126417200
946612526
1022683264
11118932aa
12771aa80
134912866
1430266d2
151ed0e79
hex15a1e80

22683264 has 64 divisors (see below), whose sum is σ = 63444000. Its totient is φ = 7160832.

The previous prime is 22683263. The next prime is 22683301. The reversal of 22683264 is 46238622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22683263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5742 + ... + 8850.

Almost surely, 222683264 is an apocalyptic number.

22683264 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 22683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31722000).

22683264 is an abundant number, since it is smaller than the sum of its proper divisors (40760736).

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

22683264 is a wasteful number, since it uses less digits than its factorization.

22683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3133 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 22683264 is about 4762.6950353765. The cubic root of 22683264 is about 283.0752171387.

The spelling of 22683264 in words is "twenty-two million, six hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3109 3648 6218 7296 9327 12436 18654 24872 37308 49744 59071 74616 99488 118142 149232 177213 198976 236284 298464 354426 397952 472568 596928 708852 945136 1193856 1417704 1890272 2835408 3780544 5670816 7561088 11341632 22683264