225332120 has 64 divisors (see below), whose sum is σ = 550156320. Its totient is φ = 82566144.

The previous prime is 225332119. The next prime is 225332123. The reversal of 225332120 is 21233522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225332092 and 225332101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225332123) 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, 69659 + ... + 72821.

Almost surely, 2^225332120 is an apocalyptic number.

225332120 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 225332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275078160).

225332120 is an abundant number, since it is smaller than the sum of its proper divisors (324824200).

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

225332120 is a wasteful number, since it uses less digits than its factorization.

225332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 225332120 is about 15011.0665843570. The cubic root of 225332120 is about 608.5193147915.

Adding to 225332120 its reverse (21233522), we get a palindrome (246565642).

The spelling of 225332120 in words is "two hundred twenty-five million, three hundred thirty-two thousand, one hundred twenty".