225523920 has 160 divisors (see below), whose sum is σ = 743345280. Its totient is φ = 56558592.

The previous prime is 225523919. The next prime is 225523979. The reversal of 225523920 is 29325522.

225523920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225523920² = 101722076984332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1646092 + ... + 1646228.

It is an arithmetic number, because the mean of its divisors is an integer number (4645908).

Almost surely, 2^225523920 is an apocalyptic number.

225523920 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 225523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371672640).

225523920 is an abundant number, since it is smaller than the sum of its proper divisors (517821360).

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

225523920 is a wasteful number, since it uses less digits than its factorization.

225523920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 225523920 is about 15017.4538454426. The cubic root of 225523920 is about 608.6919206101.

The spelling of 225523920 in words is "two hundred twenty-five million, five hundred twenty-three thousand, nine hundred twenty".