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22680704 = 27374789
BaseRepresentation
bin101011010000…
…1010010000000
31120200022002002
41112201102000
521301240304
62130043132
7363532334
oct126412200
946608062
1022680704
1111891392
1277194a8
134911647
1430257c4
151ed031e
hex15a1480

22680704 has 32 divisors (see below), whose sum is σ = 46415100. Its totient is φ = 11031552.

The previous prime is 22680701. The next prime is 22680709. The reversal of 22680704 is 40708622.

It can be written as a sum of positive squares in 2 ways, for example, as 22657600 + 23104 = 4760^2 + 152^2 .

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 (22680701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2342 + ... + 7130.

Almost surely, 222680704 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 22680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207550).

22680704 is an abundant number, since it is smaller than the sum of its proper divisors (23734396).

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

22680704 is an equidigital number, since it uses as much as digits as its factorization.

22680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 22680704 is about 4762.4262723952. The cubic root of 22680704 is about 283.0645675864.

The spelling of 22680704 in words is "twenty-two million, six hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 4789 9578 19156 38312 76624 153248 177193 306496 354386 612992 708772 1417544 2835088 5670176 11340352 22680704