225310944 has 48 divisors (see below), whose sum is σ = 617162112. Its totient is φ = 71837568.

The previous prime is 225310937. The next prime is 225310951. The reversal of 225310944 is 449013522.

It is an interprime number because it is at equal distance from previous prime (225310937) and next prime (225310951).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×225310944² = 101530042972342272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48814 + ... + 53229.

It is an arithmetic number, because the mean of its divisors is an integer number (12857544).

Almost surely, 2^225310944 is an apocalyptic number.

225310944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225310944 is an abundant number, since it is smaller than the sum of its proper divisors (391851168).

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

225310944 is a wasteful number, since it uses less digits than its factorization.

225310944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102079 (or 102071 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 225310944 is about 15010.3612215030. The cubic root of 225310944 is about 608.5002519541.

The spelling of 225310944 in words is "two hundred twenty-five million, three hundred ten thousand, nine hundred forty-four".