225152520 has 192 divisors, whose sum is σ = 737493120. Its totient is φ = 54878208.

The previous prime is 225152509. The next prime is 225152537. The reversal of 225152520 is 25251522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2321112 + ... + 2321208.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^225152520 is an apocalyptic number.

225152520 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 225152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368746560).

225152520 is an abundant number, since it is smaller than the sum of its proper divisors (512340600).

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

225152520 is a wasteful number, since it uses less digits than its factorization.

225152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 225152520 is about 15005.0831387234. The cubic root of 225152520 is about 608.3575992489.

The spelling of 225152520 in words is "two hundred twenty-five million, one hundred fifty-two thousand, five hundred twenty".