225242520 has 128 divisors (see below), whose sum is σ = 733199040. Its totient is φ = 55132160.

The previous prime is 225242513. The next prime is 225242533. The reversal of 225242520 is 25242522.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82294 + ... + 84986.

Almost surely, 2^225242520 is an apocalyptic number.

225242520 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 225242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366599520).

225242520 is an abundant number, since it is smaller than the sum of its proper divisors (507956520).

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

225242520 is a wasteful number, since it uses less digits than its factorization.

225242520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 225242520 is about 15008.0818228047. The cubic root of 225242520 is about 608.4386478498.

The spelling of 225242520 in words is "two hundred twenty-five million, two hundred forty-two thousand, five hundred twenty".