225330 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 48384.

The previous prime is 225307. The next prime is 225341. The reversal of 225330 is 33522.

225330 = T₁₄₀ + T₁₄₁ + ... + T₁₅₉.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6072 + ... + 6108.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2²²⁵³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

225330 is an abundant number, since it is smaller than the sum of its proper divisors (431310).

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

225330 is a wasteful number, since it uses less digits than its factorization.

225330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 225330 is about 474.6893721161. The cubic root of 225330 is about 60.8517406401.

Adding to 225330 its reverse (33522), we get a palindrome (258852).

It can be divided in two parts, 225 and 330, that added together give a palindrome (555).

The spelling of 225330 in words is "two hundred twenty-five thousand, three hundred thirty".