114243200 has 96 divisors (see below), whose sum is σ = 297228000. Its totient is φ = 43269120.

The previous prime is 114243187. The next prime is 114243203. The reversal of 114243200 is 2342411.

It is not an unprimeable number, because it can be changed into a prime (114243203) by changing a digit.

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, 59861 + ... + 61739.

It is an arithmetic number, because the mean of its divisors is an integer number (3096125).

Almost surely, 2^114243200 is an apocalyptic number.

114243200 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 114243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148614000).

114243200 is an abundant number, since it is smaller than the sum of its proper divisors (182984800).

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

114243200 is a wasteful number, since it uses less digits than its factorization.

114243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114243200 is about 10688.4610678993. The cubic root of 114243200 is about 485.2253177751.

Adding to 114243200 its reverse (2342411), we get a palindrome (116585611).

The spelling of 114243200 in words is "one hundred fourteen million, two hundred forty-three thousand, two hundred".