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225848 = 23737109
BaseRepresentation
bin110111001000111000
3102110210202
4313020320
524211343
64501332
71630310
oct671070
9373722
10225848
11144757
12aa848
137ba4c
145c440
1546db8
hex37238

225848 has 32 divisors (see below), whose sum is σ = 501600. Its totient is φ = 93312.

The previous prime is 225839. The next prime is 225859. The reversal of 225848 is 848522.

225848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225848.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225848.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2018 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (15675).

2225848 is an apocalyptic number.

225848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250800).

225848 is an abundant number, since it is smaller than the sum of its proper divisors (275752).

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

225848 is a wasteful number, since it uses less digits than its factorization.

225848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 225848 is about 475.2346788693. The cubic root of 225848 is about 60.8983346404.

The spelling of 225848 in words is "two hundred twenty-five thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 109 148 218 259 296 436 518 763 872 1036 1526 2072 3052 4033 6104 8066 16132 28231 32264 56462 112924 225848