225180840 has 32 divisors (see below), whose sum is σ = 675542880. Its totient is φ = 60048192.

The previous prime is 225180817. The next prime is 225180841. The reversal of 225180840 is 48081522.

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

It is a junction number, because it is equal to n+sod(n) for n = 225180798 and 225180807.

It is not an unprimeable number, because it can be changed into a prime (225180841) 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 7 ways as a sum of consecutive naturals, for example, 938134 + ... + 938373.

It is an arithmetic number, because the mean of its divisors is an integer number (21110715).

Almost surely, 2^225180840 is an apocalyptic number.

225180840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225180840 is an abundant number, since it is smaller than the sum of its proper divisors (450362040).

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

225180840 is a wasteful number, since it uses less digits than its factorization.

225180840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876521 (or 1876517 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 225180840 is about 15006.0267892604. The cubic root of 225180840 is about 608.3831048705.

The spelling of 225180840 in words is "two hundred twenty-five million, one hundred eighty thousand, eight hundred forty".