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22978256 = 24735379
BaseRepresentation
bin101011110100…
…1111011010000
31121020102020112
41113221323100
521340301011
62140300452
7366212000
oct127517320
947212215
1022978256
1111a749a4
127841728
1349b6c02
1430a2000
15203d58b
hex15e9ed0

22978256 has 80 divisors (see below), whose sum is σ = 53568000. Its totient is φ = 9539712.

The previous prime is 22978247. The next prime is 22978259. The reversal of 22978256 is 65287922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22978259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290825 + ... + 290903.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 222978256 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 22978256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784000).

22978256 is an abundant number, since it is smaller than the sum of its proper divisors (30589744).

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

22978256 is an equidigital number, since it uses as much as digits as its factorization.

22978256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 22978256 is about 4793.5640185565. The cubic root of 22978256 is about 284.2970508249.

The spelling of 22978256 in words is "twenty-two million, nine hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 79 98 106 112 158 196 212 316 343 371 392 424 553 632 686 742 784 848 1106 1264 1372 1484 2212 2597 2744 2968 3871 4187 4424 5194 5488 5936 7742 8374 8848 10388 15484 16748 18179 20776 27097 29309 30968 33496 36358 41552 54194 58618 61936 66992 72716 108388 117236 145432 205163 216776 234472 290864 410326 433552 468944 820652 1436141 1641304 2872282 3282608 5744564 11489128 22978256