225990 has 56 divisors (see below), whose sum is σ = 629568. Its totient is φ = 58320.

The previous prime is 225989. The next prime is 226001. The reversal of 225990 is 99522.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 225990.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7275 + ... + 7305.

2²²⁵⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314784).

225990 is an abundant number, since it is smaller than the sum of its proper divisors (403578).

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

225990 is an equidigital number, since it uses as much as digits as its factorization.

225990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 225990 is about 475.3840552648. The cubic root of 225990 is about 60.9110950690.

The spelling of 225990 in words is "two hundred twenty-five thousand, nine hundred ninety".