225117312 has 128 divisors (see below), whose sum is σ = 691804800. Its totient is φ = 63528960.

The previous prime is 225117289. The next prime is 225117313. The reversal of 225117312 is 213711522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225117313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238762 + ... + 239702.

It is an arithmetic number, because the mean of its divisors is an integer number (5404725).

Almost surely, 2^225117312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345902400).

225117312 is an abundant number, since it is smaller than the sum of its proper divisors (466687488).

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

225117312 is an equidigital number, since it uses as much as digits as its factorization.

225117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 225117312 is about 15003.9098904252. The cubic root of 225117312 is about 608.3258871589.

Adding to 225117312 its reverse (213711522), we get a palindrome (438828834).

The spelling of 225117312 in words is "two hundred twenty-five million, one hundred seventeen thousand, three hundred twelve".