225924984 has 64 divisors (see below), whose sum is σ = 629798400. Its totient is φ = 75040992.

The previous prime is 225924973. The next prime is 225924989. The reversal of 225924984 is 489429522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225924989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64609 + ... + 68015.

It is an arithmetic number, because the mean of its divisors is an integer number (9840600).

Almost surely, 2^225924984 is an apocalyptic number.

225924984 is a gapful number since it is divisible by the number (24) 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 225924984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314899200).

225924984 is an abundant number, since it is smaller than the sum of its proper divisors (403873416).

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

225924984 is a wasteful number, since it uses less digits than its factorization.

225924984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3719 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 225924984 is about 15030.8011762514. The cubic root of 225924984 is about 609.0525325355.

The spelling of 225924984 in words is "two hundred twenty-five million, nine hundred twenty-four thousand, nine hundred eighty-four".