225443160 has 96 divisors (see below), whose sum is σ = 756362880. Its totient is φ = 58176000.

The previous prime is 225443159. The next prime is 225443173. The reversal of 225443160 is 61344522.

225443160 is a `hidden beast` number, since 225 + 4 + 431 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060 + ... + 21260.

It is an arithmetic number, because the mean of its divisors is an integer number (7878780).

Almost surely, 2^225443160 is an apocalyptic number.

225443160 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 225443160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378181440).

225443160 is an abundant number, since it is smaller than the sum of its proper divisors (530919720).

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

225443160 is a wasteful number, since it uses less digits than its factorization.

225443160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249 (or 20242 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225443160 is about 15014.7647334216. The cubic root of 225443160 is about 608.6192545140.

Adding to 225443160 its reverse (61344522), we get a palindrome (286787682).

The spelling of 225443160 in words is "two hundred twenty-five million, four hundred forty-three thousand, one hundred sixty".