225538920 has 96 divisors (see below), whose sum is σ = 764899200. Its totient is φ = 57526656.

The previous prime is 225538891. The next prime is 225538921. The reversal of 225538920 is 29835522.

225538920 is a `hidden beast` number, since 2 + 2 + 553 + 89 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225538921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5340 + ... + 21899.

It is an arithmetic number, because the mean of its divisors is an integer number (7967700).

Almost surely, 2^225538920 is an apocalyptic number.

225538920 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 225538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382449600).

225538920 is an abundant number, since it is smaller than the sum of its proper divisors (539360280).

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

225538920 is a wasteful number, since it uses less digits than its factorization.

225538920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279 (or 27272 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225538920 is about 15017.9532560199. The cubic root of 225538920 is about 608.7054153743.

The spelling of 225538920 in words is "two hundred twenty-five million, five hundred thirty-eight thousand, nine hundred twenty".