114892200 has 288 divisors, whose sum is σ = 417830400. Its totient is φ = 28224000.

The previous prime is 114892139. The next prime is 114892207. The reversal of 114892200 is 2298411.

It is not an unprimeable number, because it can be changed into a prime (114892207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1618165 + ... + 1618235.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 2^114892200 is an apocalyptic number.

114892200 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 114892200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

114892200 is an abundant number, since it is smaller than the sum of its proper divisors (302938200).

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

114892200 is a wasteful number, since it uses less digits than its factorization.

114892200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114892200 is about 10718.7779154155. Note that the first 3 decimals coincide. The cubic root of 114892200 is about 486.1424162213.

It can be divided in two parts, 11489 and 2200, that added together give a square (13689 = 117²).

The spelling of 114892200 in words is "one hundred fourteen million, eight hundred ninety-two thousand, two hundred".