225356160 has 64 divisors (see below), whose sum is σ = 718328880. Its totient is φ = 60094464.

The previous prime is 225356119. The next prime is 225356161. The reversal of 225356160 is 61653522.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225356161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56767 + ... + 60606.

Almost surely, 2^225356160 is an apocalyptic number.

225356160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225356160 is an abundant number, since it is smaller than the sum of its proper divisors (492972720).

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

225356160 is a wasteful number, since it uses less digits than its factorization.

225356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117395 (or 117383 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 225356160 is about 15011.8673055686. The cubic root of 225356160 is about 608.5409543816.

The spelling of 225356160 in words is "two hundred twenty-five million, three hundred fifty-six thousand, one hundred sixty".