114332800 has 48 divisors (see below), whose sum is σ = 282445650. Its totient is φ = 45731840.

The previous prime is 114332797. The next prime is 114332809. The reversal of 114332800 is 8233411.

It can be written as a sum of positive squares in 3 ways, for example, as 46566976 + 67765824 = 6824^2 + 8232^2 .

It is not an unprimeable number, because it can be changed into a prime (114332809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14665 + ... + 21064.

Almost surely, 2^114332800 is an apocalyptic number.

114332800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114332800 is an abundant number, since it is smaller than the sum of its proper divisors (168112850).

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

114332800 is an equidigital number, since it uses as much as digits as its factorization.

114332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35753 (or 35736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 114332800 is about 10692.6516823471. The cubic root of 114332800 is about 485.3521373653.

The spelling of 114332800 in words is "one hundred fourteen million, three hundred thirty-two thousand, eight hundred".