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22813425 = 3252412473
BaseRepresentation
bin101011100000…
…1101011110001
31120221001010200
41113001223301
521320012200
62132545413
7364624305
oct127015361
946831120
1022813425
1111972078
127782269
134959b8b
14305bd05
152009800
hex15c1af1

22813425 has 36 divisors (see below), whose sum is σ = 41874924. Its totient is φ = 11865600.

The previous prime is 22813411. The next prime is 22813481. The reversal of 22813425 is 52431822.

22813425 is a `hidden beast` number, since 228 + 13 + 425 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1937664 + 20875761 = 1392^2 + 4569^2 .

It is not a de Polignac number, because 22813425 - 26 = 22813361 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 7989 + ... + 10461.

Almost surely, 222813425 is an apocalyptic number.

22813425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22813425 is a deficient number, since it is larger than the sum of its proper divisors (19061499).

22813425 is a wasteful number, since it uses less digits than its factorization.

22813425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 22813425 is about 4776.3401260798. The cubic root of 22813425 is about 283.6156317496.

The spelling of 22813425 in words is "twenty-two million, eight hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 2473 3075 7419 9225 12365 22257 37095 61825 101393 111285 185475 304179 506965 556425 912537 1520895 2534825 4562685 7604475 22813425