114002240 has 112 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 40980480.

The previous prime is 114002233. The next prime is 114002269. The reversal of 114002240 is 42200411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489164 + ... + 489396.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^114002240 is an apocalyptic number.

114002240 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 114002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

114002240 is an abundant number, since it is smaller than the sum of its proper divisors (185555200).

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

114002240 is a wasteful number, since it uses less digits than its factorization.

114002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114002240 is about 10677.1831491269. The cubic root of 114002240 is about 484.8839343904.

Adding to 114002240 its reverse (42200411), we get a palindrome (156202651).

The spelling of 114002240 in words is "one hundred fourteen million, two thousand, two hundred forty".