225305520 has 160 divisors (see below), whose sum is σ = 786806784. Its totient is φ = 52838400.

The previous prime is 225305503. The next prime is 225305527. The reversal of 225305520 is 25503522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (225305527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80464 + ... + 83216.

Almost surely, 2^225305520 is an apocalyptic number.

225305520 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 225305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393403392).

225305520 is an abundant number, since it is smaller than the sum of its proper divisors (561501264).

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

225305520 is a wasteful number, since it uses less digits than its factorization.

225305520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 225305520 is about 15010.1805452166. The cubic root of 225305520 is about 608.4953690254.

The spelling of 225305520 in words is "two hundred twenty-five million, three hundred five thousand, five hundred twenty".