114230640 has 80 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 30279936.

The previous prime is 114230609. The next prime is 114230653. The reversal of 114230640 is 46032411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114230640² = 26097278229619200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41631 + ... + 44289.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^114230640 is an apocalyptic number.

114230640 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 114230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

114230640 is an abundant number, since it is smaller than the sum of its proper divisors (241996560).

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

114230640 is a wasteful number, since it uses less digits than its factorization.

114230640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114230640 is about 10687.8735022454. The cubic root of 114230640 is about 485.2075350877.

The spelling of 114230640 in words is "one hundred fourteen million, two hundred thirty thousand, six hundred forty".