225918972 has 54 divisors (see below), whose sum is σ = 597032072. Its totient is φ = 72026064.

The previous prime is 225918971. The next prime is 225918977. The reversal of 225918972 is 279819522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225918971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13113 + ... + 24975.

Almost surely, 2^225918972 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 225918972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298516036).

225918972 is an abundant number, since it is smaller than the sum of its proper divisors (371113100).

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

225918972 is a wasteful number, since it uses less digits than its factorization.

225918972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11891 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 225918972 is about 15030.6011855814. The cubic root of 225918972 is about 609.0471300693.

The spelling of 225918972 in words is "two hundred twenty-five million, nine hundred eighteen thousand, nine hundred seventy-two".