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22680864 = 253326251
BaseRepresentation
bin101011010000…
…1010100100000
31120200022022000
41112201110200
521301241424
62130044000
7363532653
oct126412440
946608260
1022680864
1111891518
127719600
13491173b
14302589a
151ed03c9
hex15a1520

22680864 has 48 divisors (see below), whose sum is σ = 66155040. Its totient is φ = 7560000.

The previous prime is 22680859. The next prime is 22680869. The reversal of 22680864 is 46808622.

It is an interprime number because it is at equal distance from previous prime (22680859) and next prime (22680869).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (22680869) 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, 12262 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (1378230).

Almost surely, 222680864 is an apocalyptic number.

22680864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22680864 is an abundant number, since it is smaller than the sum of its proper divisors (43474176).

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

22680864 is a wasteful number, since it uses less digits than its factorization.

22680864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26270 (or 26256 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22680864 is about 4762.4430705259. The cubic root of 22680864 is about 283.0652332069.

The spelling of 22680864 in words is "twenty-two million, six hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 26251 52502 78753 105004 157506 210008 236259 315012 420016 472518 630024 708777 840032 945036 1260048 1417554 1890072 2520096 2835108 3780144 5670216 7560288 11340432 22680864