225888780 has 72 divisors (see below), whose sum is σ = 684914832. Its totient is φ = 55600896.

The previous prime is 225888779. The next prime is 225888781. The reversal of 225888780 is 87888522.

It is a happy number.

225888780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225888779) and next prime (225888781).

It is not an unprimeable number, because it can be changed into a prime (225888781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999 + ... + 21278.

It is an arithmetic number, because the mean of its divisors is an integer number (9512706).

Almost surely, 2^225888780 is an apocalyptic number.

225888780 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 225888780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342457416).

225888780 is an abundant number, since it is smaller than the sum of its proper divisors (459026052).

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

225888780 is a wasteful number, since it uses less digits than its factorization.

225888780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22315 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 225888780 is about 15029.5968009791. The cubic root of 225888780 is about 609.0199976716.

The spelling of 225888780 in words is "two hundred twenty-five million, eight hundred eighty-eight thousand, seven hundred eighty".