225115310000 has 300 divisors, whose sum is σ = 643567311288. Its totient is φ = 76019328000.

The previous prime is 225115309967. The next prime is 225115310039. The reversal of 225115310000 is 13511522.

It is a happy number.

225115310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225115310000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32826572 + ... + 32833428.

Almost surely, 2^225115310000 is an apocalyptic number.

225115310000 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 225115310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321783655644).

225115310000 is an abundant number, since it is smaller than the sum of its proper divisors (418452001288).

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

225115310000 is an equidigital number, since it uses as much as digits as its factorization.

225115310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 225115310000 its reverse (13511522), we get a palindrome (225128821522).

The spelling of 225115310000 in words is "two hundred twenty-five billion, one hundred fifteen million, three hundred ten thousand".