225204120 has 96 divisors (see below), whose sum is σ = 734151600. Its totient is φ = 59870976.

The previous prime is 225204079. The next prime is 225204127. The reversal of 225204120 is 21402522.

225204120 is a `hidden beast` number, since 2 + 252 + 0 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225204093 and 225204102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225204127) 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, 150094 + ... + 151586.

Almost surely, 2^225204120 is an apocalyptic number.

225204120 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 225204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367075800).

225204120 is an abundant number, since it is smaller than the sum of its proper divisors (508947480).

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

225204120 is a wasteful number, since it uses less digits than its factorization.

225204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225204120 is about 15006.8024575524. The cubic root of 225204120 is about 608.4040697545.

Adding to 225204120 its reverse (21402522), we get a palindrome (246606642).

The spelling of 225204120 in words is "two hundred twenty-five million, two hundred four thousand, one hundred twenty".