114313200 has 60 divisors (see below), whose sum is σ = 366187128. Its totient is φ = 30483200.

The previous prime is 114313187. The next prime is 114313217. The reversal of 114313200 is 2313411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114313200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46431 + ... + 48830.

Almost surely, 2^114313200 is an apocalyptic number.

114313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114313200 is an abundant number, since it is smaller than the sum of its proper divisors (251873928).

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

114313200 is a wasteful number, since it uses less digits than its factorization.

114313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95282 (or 95271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114313200 is about 10691.7351257876. The cubic root of 114313200 is about 485.3244012431.

Adding to 114313200 its reverse (2313411), we get a palindrome (116626611).

The spelling of 114313200 in words is "one hundred fourteen million, three hundred thirteen thousand, two hundred".