114238240 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 42476544.

The previous prime is 114238231. The next prime is 114238261. The reversal of 114238240 is 42832411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135741 + ... + 136579.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^114238240 is an apocalyptic number.

114238240 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 114238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

114238240 is an abundant number, since it is smaller than the sum of its proper divisors (175340000).

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

114238240 is a wasteful number, since it uses less digits than its factorization.

114238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 114238240 is about 10688.2290394621. The cubic root of 114238240 is about 485.2182954683.

The spelling of 114238240 in words is "one hundred fourteen million, two hundred thirty-eight thousand, two hundred forty".