225546660 has 96 divisors (see below), whose sum is σ = 705223680. Its totient is φ = 59844096.

The previous prime is 225546647. The next prime is 225546677. The reversal of 225546660 is 66645522.

225546660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 119484 + ... + 121356.

It is an arithmetic number, because the mean of its divisors is an integer number (7346080).

Almost surely, 2^225546660 is an apocalyptic number.

225546660 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 225546660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352611840).

225546660 is an abundant number, since it is smaller than the sum of its proper divisors (479677020).

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

225546660 is a wasteful number, since it uses less digits than its factorization.

225546660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 225546660 is about 15018.2109453823. The cubic root of 225546660 is about 608.7123784386.

The spelling of 225546660 in words is "two hundred twenty-five million, five hundred forty-six thousand, six hundred sixty".