114229840 has 80 divisors (see below), whose sum is σ = 280227600. Its totient is φ = 43237376.

The previous prime is 114229831. The next prime is 114229861. The reversal of 114229840 is 48922411.

It can be written as a sum of positive squares in 8 ways, for example, as 7974976 + 106254864 = 2824^2 + 10308^2 .

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

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, 122496 + ... + 123424.

It is an arithmetic number, because the mean of its divisors is an integer number (3502845).

Almost surely, 2^114229840 is an apocalyptic number.

114229840 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 114229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140113800).

114229840 is an abundant number, since it is smaller than the sum of its proper divisors (165997760).

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

114229840 is a wasteful number, since it uses less digits than its factorization.

114229840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 114229840 is about 10687.8360765873. The cubic root of 114229840 is about 485.2064023883.

The spelling of 114229840 in words is "one hundred fourteen million, two hundred twenty-nine thousand, eight hundred forty".