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23286816 = 2532711551
BaseRepresentation
bin101100011010…
…1010000100000
31121211002111200
41120311100200
521430134231
62151041200
7401635410
oct130652040
947732450
1023286816
1112165803
127970200
134a944a7
143142640
15209ebe6
hex1635420

23286816 has 72 divisors (see below), whose sum is σ = 75688704. Its totient is φ = 6652800.

The previous prime is 23286803. The next prime is 23286817. The reversal of 23286816 is 61868232.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (23286817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3760 + ... + 7791.

It is an arithmetic number, because the mean of its divisors is an integer number (1051232).

Almost surely, 223286816 is an apocalyptic number.

It is an amenable number.

23286816 is an abundant number, since it is smaller than the sum of its proper divisors (52401888).

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

23286816 is a wasteful number, since it uses less digits than its factorization.

23286816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574 (or 11563 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23286816 is about 4825.6415117578. The cubic root of 23286816 is about 285.5639433802.

The spelling of 23286816 in words is "twenty-three million, two hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 11551 23102 34653 46204 69306 80857 92408 103959 138612 161714 184816 207918 242571 277224 323428 369632 415836 485142 554448 646856 727713 831672 970284 1108896 1293712 1455426 1663344 1940568 2587424 2910852 3326688 3881136 5821704 7762272 11643408 23286816