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225645 = 3572307
BaseRepresentation
bin110111000101101101
3102110112020
4313011231
524210040
64500353
71626600
oct670555
9373466
10225645
11144592
12aa6b9
137b924
145c337
1546cd0
hex3716d

225645 has 24 divisors (see below), whose sum is σ = 421344. Its totient is φ = 102816.

The previous prime is 225637. The next prime is 225671. The reversal of 225645 is 546522.

It is not a de Polignac number, because 225645 - 23 = 225637 is a prime.

It is a super-3 number, since 3×2256453 = 34466596380633375, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 582 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2225645 is an apocalyptic number.

It is an amenable number.

225645 is a deficient number, since it is larger than the sum of its proper divisors (195699).

225645 is a wasteful number, since it uses less digits than its factorization.

225645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 225645 is about 475.0210521651. The cubic root of 225645 is about 60.8800833273.

The spelling of 225645 in words is "two hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 307 735 921 1535 2149 4605 6447 10745 15043 32235 45129 75215 225645