114224640 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 29958144.

The previous prime is 114224597. The next prime is 114224657. The reversal of 114224640 is 46422411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114224640.

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, 821691 + ... + 821829.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^114224640 is an apocalyptic number.

114224640 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 114224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

114224640 is an abundant number, since it is smaller than the sum of its proper divisors (257001600).

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

114224640 is a wasteful number, since it uses less digits than its factorization.

114224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 114224640 is about 10687.5928066146. The cubic root of 114224640 is about 485.1990397133.

The spelling of 114224640 in words is "one hundred fourteen million, two hundred twenty-four thousand, six hundred forty".