225609720 has 384 divisors, whose sum is σ = 870212160. Its totient is φ = 46448640.

The previous prime is 225609677. The next prime is 225609731. The reversal of 225609720 is 27906522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3698490 + ... + 3698550.

Almost surely, 2^225609720 is an apocalyptic number.

225609720 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 225609720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435106080).

225609720 is an abundant number, since it is smaller than the sum of its proper divisors (644602440).

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

225609720 is a wasteful number, since it uses less digits than its factorization.

225609720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 225609720 is about 15020.3102497918. The cubic root of 225609720 is about 608.7691025858.

The spelling of 225609720 in words is "two hundred twenty-five million, six hundred nine thousand, seven hundred twenty".