114483200 has 168 divisors, whose sum is σ = 312849768. Its totient is φ = 41287680.

The previous prime is 114483181. The next prime is 114483203. The reversal of 114483200 is 2384411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114483203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662379 + ... + 2662421.

It is an arithmetic number, because the mean of its divisors is an integer number (1862201).

Almost surely, 2^114483200 is an apocalyptic number.

114483200 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 114483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156424884).

114483200 is an abundant number, since it is smaller than the sum of its proper divisors (198366568).

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

114483200 is an equidigital number, since it uses as much as digits as its factorization.

114483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 114483200 is about 10699.6822382723. The cubic root of 114483200 is about 485.5648642372.

The spelling of 114483200 in words is "one hundred fourteen million, four hundred eighty-three thousand, two hundred".