114203200 has 84 divisors (see below), whose sum is σ = 283605732. Its totient is φ = 45260800.

The previous prime is 114203183. The next prime is 114203209. The reversal of 114203200 is 2302411.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 109327936 = 2208^2 + 10456^2 .

It is not an unprimeable number, because it can be changed into a prime (114203209) 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, 218940 + ... + 219460.

Almost surely, 2^114203200 is an apocalyptic number.

114203200 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 114203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141802866).

114203200 is an abundant number, since it is smaller than the sum of its proper divisors (169402532).

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

114203200 is a wasteful number, since it uses less digits than its factorization.

114203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 114203200 is about 10686.5897273171. The cubic root of 114203200 is about 485.1686804775.

Adding to 114203200 its reverse (2302411), we get a palindrome (116505611).

The spelling of 114203200 in words is "one hundred fourteen million, two hundred three thousand, two hundred".