114033824 has 24 divisors (see below), whose sum is σ = 237711348. Its totient is φ = 53662720.

The previous prime is 114033781. The next prime is 114033851. The reversal of 114033824 is 428330411.

It can be written as a sum of positive squares in 2 ways, for example, as 106915600 + 7118224 = 10340^2 + 2668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114033793 and 114033802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104267 + ... + 105354.

Almost surely, 2^114033824 is an apocalyptic number.

It is an amenable number.

114033824 is an abundant number, since it is smaller than the sum of its proper divisors (123677524).

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

114033824 is a wasteful number, since it uses less digits than its factorization.

114033824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209648 (or 209640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 114033824 is about 10678.6620884828. The cubic root of 114033824 is about 484.9287088326.

The spelling of 114033824 in words is "one hundred fourteen million, thirty-three thousand, eight hundred twenty-four".