114225600 has 168 divisors, whose sum is σ = 382676400. Its totient is φ = 29818880.

The previous prime is 114225599. The next prime is 114225619. The reversal of 114225600 is 6522411.

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, 254176 + ... + 254624.

Almost surely, 2^114225600 is an apocalyptic number.

114225600 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 114225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191338200).

114225600 is an abundant number, since it is smaller than the sum of its proper divisors (268450800).

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

114225600 is a wasteful number, since it uses less digits than its factorization.

114225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114225600 is about 10687.6377184109. The cubic root of 114225600 is about 485.2003989932.

The spelling of 114225600 in words is "one hundred fourteen million, two hundred twenty-five thousand, six hundred".