114440200 has 96 divisors (see below), whose sum is σ = 311319360. Its totient is φ = 38304000.

The previous prime is 114440153. The next prime is 114440201. The reversal of 114440200 is 2044411.

It is not an unprimeable number, because it can be changed into a prime (114440201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59250 + ... + 61150.

It is an arithmetic number, because the mean of its divisors is an integer number (3242910).

Almost surely, 2^114440200 is an apocalyptic number.

114440200 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 114440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155659680).

114440200 is an abundant number, since it is smaller than the sum of its proper divisors (196879160).

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

114440200 is a wasteful number, since it uses less digits than its factorization.

114440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 114440200 is about 10697.6726440848. The cubic root of 114440200 is about 485.5040637477.

Adding to 114440200 its reverse (2044411), we get a palindrome (116484611).

The spelling of 114440200 in words is "one hundred fourteen million, four hundred forty thousand, two hundred".