225265920 has 144 divisors (see below), whose sum is σ = 784994112. Its totient is φ = 54599680.

The previous prime is 225265883. The next prime is 225265927. The reversal of 225265920 is 29562522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (225265927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39574 + ... + 44906.

It is an arithmetic number, because the mean of its divisors is an integer number (5451348).

Almost surely, 2^225265920 is an apocalyptic number.

225265920 is a gapful number since it is divisible by the number (20) 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 225265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392497056).

225265920 is an abundant number, since it is smaller than the sum of its proper divisors (559728192).

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

225265920 is a wasteful number, since it uses less digits than its factorization.

225265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 225265920 is about 15008.8613825300. The cubic root of 225265920 is about 608.4597169495.

The spelling of 225265920 in words is "two hundred twenty-five million, two hundred sixty-five thousand, nine hundred twenty".