225310960 has 40 divisors (see below), whose sum is σ = 598684896. Its totient is φ = 77249280.

The previous prime is 225310951. The next prime is 225310963. The reversal of 225310960 is 69013522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×225310960² = 101530057392243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225310963) 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, 200611 + ... + 201730.

Almost surely, 2^225310960 is an apocalyptic number.

225310960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225310960 is an abundant number, since it is smaller than the sum of its proper divisors (373373936).

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

225310960 is a wasteful number, since it uses less digits than its factorization.

225310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402361 (or 402355 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 225310960 is about 15010.3617544681. The cubic root of 225310960 is about 608.5002663579.

The spelling of 225310960 in words is "two hundred twenty-five million, three hundred ten thousand, nine hundred sixty".