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225924 = 22367281
BaseRepresentation
bin110111001010000100
3102110220120
4313022010
524212144
64501540
71630446
oct671204
9373816
10225924
11144816
12aa8b0
137baaa
145c496
1546e19
hex37284

225924 has 24 divisors (see below), whose sum is σ = 536928. Its totient is φ = 73920.

The previous prime is 225919. The next prime is 225931. The reversal of 225924 is 429522.

225924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225894 and 225903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225924.

It is an unprimeable number.

225924 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (22372).

2225924 is an apocalyptic number.

It is an amenable number.

225924 is an abundant number, since it is smaller than the sum of its proper divisors (311004).

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

225924 is a wasteful number, since it uses less digits than its factorization.

225924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 225924 is about 475.3146326382. The cubic root of 225924 is about 60.9051648306.

The spelling of 225924 in words is "two hundred twenty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 67 134 201 268 281 402 562 804 843 1124 1686 3372 18827 37654 56481 75308 112962 225924