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22540960 = 2551310837
BaseRepresentation
bin101010111111…
…1001010100000
31120102012101101
41111333022200
521232302320
62123044144
7362411041
oct125771240
946365341
1022540960
11117a63a2
127670654
134892b60
142dca8c8
151ea3c0a
hex157f2a0

22540960 has 48 divisors (see below), whose sum is σ = 57354696. Its totient is φ = 8322048.

The previous prime is 22540951. The next prime is 22540981. The reversal of 22540960 is 6904522.

It can be written as a sum of positive squares in 4 ways, for example, as 10679824 + 11861136 = 3268^2 + 3444^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3339 + ... + 7498.

Almost surely, 222540960 is an apocalyptic number.

22540960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22540960 is an abundant number, since it is smaller than the sum of its proper divisors (34813736).

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

22540960 is a wasteful number, since it uses less digits than its factorization.

22540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 22540960 is about 4747.7320901668. The cubic root of 22540960 is about 282.4820151967.

The spelling of 22540960 in words is "twenty-two million, five hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 10837 21674 43348 54185 86696 108370 140881 173392 216740 281762 346784 433480 563524 704405 866960 1127048 1408810 1733920 2254096 2817620 4508192 5635240 11270480 22540960