225281772 has 72 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 73382400.

The previous prime is 225281767. The next prime is 225281783. The reversal of 225281772 is 277182522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321022 + ... + 321722.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2^225281772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225281772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

225281772 is an abundant number, since it is smaller than the sum of its proper divisors (357322068).

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

225281772 is a wasteful number, since it uses less digits than its factorization.

225281772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 898 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 225281772 is about 15009.3894612672. The cubic root of 225281772 is about 608.4739890850.

The spelling of 225281772 in words is "two hundred twenty-five million, two hundred eighty-one thousand, seven hundred seventy-two".