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22768256 = 27725411
BaseRepresentation
bin101011011011…
…0101010000000
31120211202011202
41112312222000
521312041011
62132000332
7364345520
oct126665200
946752152
1022768256
1111941145
1277600a8
134942454
143049680
151eeb23b
hex15b6a80

22768256 has 32 divisors (see below), whose sum is σ = 51840480. Its totient is φ = 9757440.

The previous prime is 22768241. The next prime is 22768259. The reversal of 22768256 is 65286722.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (22768259) 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 3 ways as a sum of consecutive naturals, for example, 11810 + ... + 13601.

It is an arithmetic number, because the mean of its divisors is an integer number (1620015).

Almost surely, 222768256 is an apocalyptic number.

It is an amenable number.

22768256 is an abundant number, since it is smaller than the sum of its proper divisors (29072224).

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

22768256 is an equidigital number, since it uses as much as digits as its factorization.

22768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25432 (or 25420 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 22768256 is about 4771.6093721092. The cubic root of 22768256 is about 283.4283283160.

The spelling of 22768256 in words is "twenty-two million, seven hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 25411 50822 101644 177877 203288 355754 406576 711508 813152 1423016 1626304 2846032 3252608 5692064 11384128 22768256