114922400 has 36 divisors (see below), whose sum is σ = 280556262. Its totient is φ = 45968640.

The previous prime is 114922373. The next prime is 114922403. The reversal of 114922400 is 4229411.

It can be written as a sum of positive squares in 3 ways, for example, as 87086224 + 27836176 = 9332^2 + 5276^2 .

It is not an unprimeable number, because it can be changed into a prime (114922403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71027 + ... + 72626.

Almost surely, 2^114922400 is an apocalyptic number.

114922400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114922400 is an abundant number, since it is smaller than the sum of its proper divisors (165633862).

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

114922400 is a wasteful number, since it uses less digits than its factorization.

114922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143673 (or 143660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 114922400 is about 10720.1865655407. The cubic root of 114922400 is about 486.1850074932.

The spelling of 114922400 in words is "one hundred fourteen million, nine hundred twenty-two thousand, four hundred".