225966720 has 512 divisors, whose sum is σ = 930631680. Its totient is φ = 45416448.

The previous prime is 225966709. The next prime is 225966721. The reversal of 225966720 is 27669522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225966721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5255019 + ... + 5255061.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 2^225966720 is an apocalyptic number.

225966720 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 225966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465315840).

225966720 is an abundant number, since it is smaller than the sum of its proper divisors (704664960).

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

225966720 is a wasteful number, since it uses less digits than its factorization.

225966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 225966720 is about 15032.1894612861. The cubic root of 225966720 is about 609.0900344398.

The spelling of 225966720 in words is "two hundred twenty-five million, nine hundred sixty-six thousand, seven hundred twenty".