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225910 = 25192941
BaseRepresentation
bin110111001001110110
3102110220001
4313021312
524212120
64501514
71630426
oct671166
9373801
10225910
11144803
12aa89a
137ba99
145c486
1546e0a
hex37276

225910 has 32 divisors (see below), whose sum is σ = 453600. Its totient is φ = 80640.

The previous prime is 225889. The next prime is 225919. The reversal of 225910 is 19522.

225910 = T59 + T60 + ... + T115.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225919) by changing a digit.

225910 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 5530.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2225910 is an apocalyptic number.

225910 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

225910 is a wasteful number, since it uses less digits than its factorization.

225910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 225910 is about 475.2999053229. The cubic root of 225910 is about 60.9039067528.

The spelling of 225910 in words is "two hundred twenty-five thousand, nine hundred ten".

Divisors: 1 2 5 10 19 29 38 41 58 82 95 145 190 205 290 410 551 779 1102 1189 1558 2378 2755 3895 5510 5945 7790 11890 22591 45182 112955 225910