114288500 has 24 divisors (see below), whose sum is σ = 249607176. Its totient is φ = 45715200.

The previous prime is 114288497. The next prime is 114288509. The reversal of 114288500 is 5882411.

It can be written as a sum of positive squares in 4 ways, for example, as 27164944 + 87123556 = 5212^2 + 9334^2 .

It is a super-2 number, since 2×114288500² = 26123722464500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114288509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113789 + ... + 114788.

It is an arithmetic number, because the mean of its divisors is an integer number (10400299).

Almost surely, 2^114288500 is an apocalyptic number.

114288500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114288500 is an abundant number, since it is smaller than the sum of its proper divisors (135318676).

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

114288500 is a wasteful number, since it uses less digits than its factorization.

114288500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228596 (or 228584 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 114288500 is about 10690.5799655585. The cubic root of 114288500 is about 485.2894435532.

The spelling of 114288500 in words is "one hundred fourteen million, two hundred eighty-eight thousand, five hundred".