225090 has 48 divisors (see below), whose sum is σ = 609336. Its totient is φ = 57600.

The previous prime is 225089. The next prime is 225109. The reversal of 225090 is 90522.

It can be written as a sum of positive squares in 4 ways, for example, as 56169 + 168921 = 237^2 + 411^2 .

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

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, 3660 + ... + 3720.

2²²⁵⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

225090 is an abundant number, since it is smaller than the sum of its proper divisors (384246).

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

225090 is a wasteful number, since it uses less digits than its factorization.

225090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 225090 is about 474.4365078701. The cubic root of 225090 is about 60.8301284774.

It can be divided in two parts, 2250 and 90, that multiplied together give a square (202500 = 450²).

The spelling of 225090 in words is "two hundred twenty-five thousand, ninety".