225568 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 89856.

The previous prime is 225529. The next prime is 225569. The reversal of 225568 is 865522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (225569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4230 + ... + 4282.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²²⁵⁵⁶⁸ is an apocalyptic number.

225568 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 225568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

225568 is an abundant number, since it is smaller than the sum of its proper divisors (318752).

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

225568 is a wasteful number, since it uses less digits than its factorization.

225568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 225568 is about 474.9399962100. The cubic root of 225568 is about 60.8731575520.

The spelling of 225568 in words is "two hundred twenty-five thousand, five hundred sixty-eight".