114644200 has 144 divisors (see below), whose sum is σ = 307658880. Its totient is φ = 39360000.

The previous prime is 114644171. The next prime is 114644207. The reversal of 114644200 is 2446411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (114644207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2796180 + ... + 2796220.

It is an arithmetic number, because the mean of its divisors is an integer number (2136520).

Almost surely, 2^114644200 is an apocalyptic number.

114644200 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 114644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153829440).

114644200 is an abundant number, since it is smaller than the sum of its proper divisors (193014680).

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

114644200 is a wasteful number, since it uses less digits than its factorization.

114644200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 114644200 is about 10707.2031829045. The cubic root of 114644200 is about 485.7923774588.

The spelling of 114644200 in words is "one hundred fourteen million, six hundred forty-four thousand, two hundred".