225310368 has 48 divisors (see below), whose sum is σ = 605205216. Its totient is φ = 73355520.

The previous prime is 225310363. The next prime is 225310373. The reversal of 225310368 is 863013522.

It is an interprime number because it is at equal distance from previous prime (225310363) and next prime (225310373).

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

It is not an unprimeable number, because it can be changed into a prime (225310363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23163 + ... + 31418.

It is an arithmetic number, because the mean of its divisors is an integer number (12608442).

Almost surely, 2^225310368 is an apocalyptic number.

It is an amenable number.

225310368 is an abundant number, since it is smaller than the sum of its proper divisors (379894848).

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

225310368 is a wasteful number, since it uses less digits than its factorization.

225310368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54637 (or 54629 counting only the distinct ones).

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

The square root of 225310368 is about 15010.3420347439. The cubic root of 225310368 is about 608.4997334168.

It can be divided in two parts, 2253 and 10368, that added together give a palindrome (12621).

The spelling of 225310368 in words is "two hundred twenty-five million, three hundred ten thousand, three hundred sixty-eight".