225945720 has 768 divisors, whose sum is σ = 1072512000. Its totient is φ = 41057280.

The previous prime is 225945719. The next prime is 225945749. The reversal of 225945720 is 27549522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11891871 + ... + 11891889.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^225945720 is an apocalyptic number.

225945720 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 225945720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256000).

225945720 is an abundant number, since it is smaller than the sum of its proper divisors (846566280).

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

225945720 is a wasteful number, since it uses less digits than its factorization.

225945720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 225945720 is about 15031.4909440148. The cubic root of 225945720 is about 609.0711654563.

The spelling of 225945720 in words is "two hundred twenty-five million, nine hundred forty-five thousand, seven hundred twenty".