225264160 has 96 divisors (see below), whose sum is σ = 585144000. Its totient is φ = 81269760.

The previous prime is 225264157. The next prime is 225264163. The reversal of 225264160 is 61462522.

It is an interprime number because it is at equal distance from previous prime (225264157) and next prime (225264163).

It is not an unprimeable number, because it can be changed into a prime (225264163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261811 + ... + 262669.

It is an arithmetic number, because the mean of its divisors is an integer number (6095250).

Almost surely, 2^225264160 is an apocalyptic number.

225264160 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 225264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292572000).

225264160 is an abundant number, since it is smaller than the sum of its proper divisors (359879840).

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

225264160 is a wasteful number, since it uses less digits than its factorization.

225264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 225264160 is about 15008.8027503862. The cubic root of 225264160 is about 608.4581323158.

The spelling of 225264160 in words is "two hundred twenty-five million, two hundred sixty-four thousand, one hundred sixty".