225180810 has 224 divisors, whose sum is σ = 679933440. Its totient is φ = 53374464.

The previous prime is 225180721. The next prime is 225180817. The reversal of 225180810 is 18081522.

It is a super-2 number, since 2×225180810² = 101412794384512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225180817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2850351 + ... + 2850429.

Almost surely, 2^225180810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225180810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339966720).

225180810 is an abundant number, since it is smaller than the sum of its proper divisors (454752630).

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

225180810 is a wasteful number, since it uses less digits than its factorization.

225180810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 225180810 is about 15006.0257896620. The cubic root of 225180810 is about 608.3830778529.

The spelling of 225180810 in words is "two hundred twenty-five million, one hundred eighty thousand, eight hundred ten".