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22810401 = 326141549
BaseRepresentation
bin101011100000…
…0111100100001
31120220212222200
41113000330201
521314413101
62132523413
7364612425
oct127007441
946825880
1022810401
111196a879
127780569
1349586a3
14305ab85
152008986
hex15c0f21

22810401 has 12 divisors (see below), whose sum is σ = 33489300. Its totient is φ = 14957280.

The previous prime is 22810397. The next prime is 22810421. The reversal of 22810401 is 10401822.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 22043025 = 876^2 + 4695^2 .

It is not a de Polignac number, because 22810401 - 22 = 22810397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22810421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20226 + ... + 21323.

It is an arithmetic number, because the mean of its divisors is an integer number (2790775).

Almost surely, 222810401 is an apocalyptic number.

It is an amenable number.

22810401 is a deficient number, since it is larger than the sum of its proper divisors (10678899).

22810401 is a wasteful number, since it uses less digits than its factorization.

22810401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41616 (or 41613 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22810401 is about 4776.0235552183. The cubic root of 22810401 is about 283.6030997783.

The spelling of 22810401 in words is "twenty-two million, eight hundred ten thousand, four hundred one".

Divisors: 1 3 9 61 183 549 41549 124647 373941 2534489 7603467 22810401