225437160 has 64 divisors (see below), whose sum is σ = 728340480. Its totient is φ = 55491840.

The previous prime is 225437131. The next prime is 225437183. The reversal of 225437160 is 61734522.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70696 + ... + 73815.

It is an arithmetic number, because the mean of its divisors is an integer number (11380320).

Almost surely, 2^225437160 is an apocalyptic number.

225437160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225437160 is an abundant number, since it is smaller than the sum of its proper divisors (502903320).

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

225437160 is a wasteful number, since it uses less digits than its factorization.

225437160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144538 (or 144534 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 225437160 is about 15014.5649287617. The cubic root of 225437160 is about 608.6138551517.

The spelling of 225437160 in words is "two hundred twenty-five million, four hundred thirty-seven thousand, one hundred sixty".