225121320 has 96 divisors (see below), whose sum is σ = 751462920. Its totient is φ = 58406400.

The previous prime is 225121313. The next prime is 225121321. The reversal of 225121320 is 23121522.

225121320 is a `hidden beast` number, since 22 + 512 + 132 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 220166244 + 4955076 = 14838^2 + 2226^2 .

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 = 225121293 and 225121302.

It is not an unprimeable number, because it can be changed into a prime (225121321) 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, 4870 + ... + 21770.

Almost surely, 2^225121320 is an apocalyptic number.

225121320 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 225121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375731460).

225121320 is an abundant number, since it is smaller than the sum of its proper divisors (526341600).

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

225121320 is a wasteful number, since it uses less digits than its factorization.

225121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16955 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225121320 is about 15004.0434550157. The cubic root of 225121320 is about 608.3294973591.

Adding to 225121320 its reverse (23121522), we get a palindrome (248242842).

It can be divided in two parts, 22512 and 1320, that added together give a palindrome (23832).

The spelling of 225121320 in words is "two hundred twenty-five million, one hundred twenty-one thousand, three hundred twenty".