225616824 has 48 divisors (see below), whose sum is σ = 627567720. Its totient is φ = 73172160.

The previous prime is 225616789. The next prime is 225616837. The reversal of 225616824 is 428616522.

It is a happy number.

225616824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 39682 + ... + 45009.

Almost surely, 2^225616824 is an apocalyptic number.

225616824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225616824 is an abundant number, since it is smaller than the sum of its proper divisors (401950896).

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

225616824 is a wasteful number, since it uses less digits than its factorization.

225616824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84740 (or 84733 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 225616824 is about 15020.5467277326. The cubic root of 225616824 is about 608.7754921602.

The spelling of 225616824 in words is "two hundred twenty-five million, six hundred sixteen thousand, eight hundred twenty-four".