114802200 has 288 divisors, whose sum is σ = 417830400. Its totient is φ = 28174080.

The previous prime is 114802169. The next prime is 114802201. The reversal of 114802200 is 2208411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114802201) 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, 1945771 + ... + 1945829.

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

Almost surely, 2^114802200 is an apocalyptic number.

114802200 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 114802200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

114802200 is an abundant number, since it is smaller than the sum of its proper divisors (303028200).

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

114802200 is a wasteful number, since it uses less digits than its factorization.

114802200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114802200 is about 10714.5788531328. The cubic root of 114802200 is about 486.0154443093.

The spelling of 114802200 in words is "one hundred fourteen million, eight hundred two thousand, two hundred".