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".