115225200 has 240 divisors, whose sum is σ = 420687360. Its totient is φ = 29940480.

The previous prime is 115225181. The next prime is 115225249. The reversal of 115225200 is 2522511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507487 + ... + 507713.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 2^115225200 is an apocalyptic number.

115225200 is a gapful number since it is divisible by the number (10) 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 115225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

115225200 is an abundant number, since it is smaller than the sum of its proper divisors (305462160).

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

115225200 is a wasteful number, since it uses less digits than its factorization.

115225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 115225200 is about 10734.3001634946. The cubic root of 115225200 is about 486.6116365708.

Adding to 115225200 its reverse (2522511), we get a palindrome (117747711).

The spelling of 115225200 in words is "one hundred fifteen million, two hundred twenty-five thousand, two hundred".