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22564480 = 27535257
BaseRepresentation
bin101011000010…
…0111010000000
31120110101122111
41112010322000
521234030410
62123345104
7362536441
oct126047200
946411574
1022564480
1111812034
127682194
1348a0783
142dd52c8
151eaab8a
hex1584e80

22564480 has 32 divisors (see below), whose sum is σ = 53944740. Its totient is φ = 9025536.

The previous prime is 22564469. The next prime is 22564499. The reversal of 22564480 is 8446522.

It can be written as a sum of positive squares in 2 ways, for example, as 19149376 + 3415104 = 4376^2 + 1848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16989 + ... + 18268.

Almost surely, 222564480 is an apocalyptic number.

22564480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22564480 is an abundant number, since it is smaller than the sum of its proper divisors (31380260).

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

22564480 is an equidigital number, since it uses as much as digits as its factorization.

22564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35276 (or 35264 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 22564480 is about 4750.2084164803. The cubic root of 22564480 is about 282.5802314733.

The spelling of 22564480 in words is "twenty-two million, five hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 35257 70514 141028 176285 282056 352570 564112 705140 1128224 1410280 2256448 2820560 4512896 5641120 11282240 22564480