225288 has 64 divisors (see below), whose sum is σ = 720000. Its totient is φ = 63936.

The previous prime is 225287. The next prime is 225289. The reversal of 225288 is 882522.

It is an interprime number because it is at equal distance from previous prime (225287) and next prime (225289).

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

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225288.

It is not an unprimeable number, because it can be changed into a prime (225287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2²²⁵²⁸⁸ is an apocalyptic number.

225288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360000).

225288 is an abundant number, since it is smaller than the sum of its proper divisors (494712).

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

225288 is a wasteful number, since it uses less digits than its factorization.

225288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 225288 is about 474.6451305976. The cubic root of 225288 is about 60.8479596198.

The spelling of 225288 in words is "two hundred twenty-five thousand, two hundred eighty-eight".