225045120 has 256 divisors, whose sum is σ = 783360000. Its totient is φ = 54743040.

The previous prime is 225045113. The next prime is 225045127. The reversal of 225045120 is 21540522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225045113) and next prime (225045127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225045127) by changing a digit.

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, 1130781 + ... + 1130979.

It is an arithmetic number, because the mean of its divisors is an integer number (3060000).

Almost surely, 2^225045120 is an apocalyptic number.

225045120 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 225045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391680000).

225045120 is an abundant number, since it is smaller than the sum of its proper divisors (558314880).

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

225045120 is a wasteful number, since it uses less digits than its factorization.

225045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 225045120 is about 15001.5039246070. The cubic root of 225045120 is about 608.2608529813.

Adding to 225045120 its reverse (21540522), we get a palindrome (246585642).

The spelling of 225045120 in words is "two hundred twenty-five million, forty-five thousand, one hundred twenty".