114247200 has 144 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 30182400.

The previous prime is 114247169. The next prime is 114247207. The reversal of 114247200 is 2742411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114247207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434269 + ... + 434531.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^114247200 is an apocalyptic number.

114247200 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 114247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

114247200 is an abundant number, since it is smaller than the sum of its proper divisors (261103776).

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

114247200 is a wasteful number, since it uses less digits than its factorization.

114247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

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

The square root of 114247200 is about 10688.6481839379. The cubic root of 114247200 is about 485.2309807778.

Adding to 114247200 its reverse (2742411), we get a palindrome (116989611).

The spelling of 114247200 in words is "one hundred fourteen million, two hundred forty-seven thousand, two hundred".