225264 has 60 divisors (see below), whose sum is σ = 661416. Its totient is φ = 65664.

The previous prime is 225263. The next prime is 225287. The reversal of 225264 is 462522.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 225264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11847 + ... + 11865.

2²²⁵²⁶⁴ is an apocalyptic number.

225264 is a gapful number since it is divisible by the number (24) 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 225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330708).

225264 is an abundant number, since it is smaller than the sum of its proper divisors (436152).

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

225264 is a wasteful number, since it uses less digits than its factorization.

225264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 37 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 225264 is about 474.6198478783. The cubic root of 225264 is about 60.8457988258.

Adding to 225264 its reverse (462522), we get a palindrome (687786).

The spelling of 225264 in words is "two hundred twenty-five thousand, two hundred sixty-four".