114427200 has 168 divisors, whose sum is σ = 388030720. Its totient is φ = 29491200.

The previous prime is 114427151. The next prime is 114427213. The reversal of 114427200 is 2724411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148416 + ... + 149184.

Almost surely, 2^114427200 is an apocalyptic number.

114427200 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 114427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194015360).

114427200 is an abundant number, since it is smaller than the sum of its proper divisors (273603520).

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

114427200 is a wasteful number, since it uses less digits than its factorization.

114427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 114427200 is about 10697.0650180318. The cubic root of 114427200 is about 485.4856792061.

The spelling of 114427200 in words is "one hundred fourteen million, four hundred twenty-seven thousand, two hundred".