225810 has 48 divisors (see below), whose sum is σ = 635544. Its totient is φ = 55296.

The previous prime is 225809. The next prime is 225821. The reversal of 225810 is 18522.

It can be written as a sum of positive squares in 4 ways, for example, as 110889 + 114921 = 333^2 + 339^2 .

It is a super-2 number, since 2×225810² = 101980312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225810.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074 + ... + 1266.

2²²⁵⁸¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317772).

225810 is an abundant number, since it is smaller than the sum of its proper divisors (409734).

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

225810 is a wasteful number, since it uses less digits than its factorization.

225810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 225810 is about 475.1946969401. The cubic root of 225810 is about 60.8949189707.

It can be divided in two parts, 225 and 810, that added together give a triangular number (1035 = T₄₅).

The spelling of 225810 in words is "two hundred twenty-five thousand, eight hundred ten".