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225459 = 32134147
BaseRepresentation
bin110111000010110011
3102110021100
4313002303
524203314
64455443
71626213
oct670263
9373240
10225459
11144433
12aa583
137b810
145c243
1546c09
hex370b3

225459 has 24 divisors (see below), whose sum is σ = 366912. Its totient is φ = 132480.

The previous prime is 225457. The next prime is 225461. The reversal of 225459 is 954522.

It is an interprime number because it is at equal distance from previous prime (225457) and next prime (225461).

It is not a de Polignac number, because 225459 - 21 = 225457 is a prime.

225459 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225459.

It is not an unprimeable number, because it can be changed into a prime (225457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4774 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2225459 is an apocalyptic number.

225459 is a deficient number, since it is larger than the sum of its proper divisors (141453).

225459 is a wasteful number, since it uses less digits than its factorization.

225459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 225459 is about 474.8252310061. The cubic root of 225459 is about 60.8633508370.

The spelling of 225459 in words is "two hundred twenty-five thousand, four hundred fifty-nine".

Divisors: 1 3 9 13 39 41 47 117 123 141 369 423 533 611 1599 1833 1927 4797 5499 5781 17343 25051 75153 225459