114224904 has 80 divisors (see below), whose sum is σ = 338787900. Its totient is φ = 35831808.

The previous prime is 114224897. The next prime is 114224933. The reversal of 114224904 is 409422411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112402404 + 1822500 = 10602^2 + 1350^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5832 + ... + 16200.

Almost surely, 2^114224904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114224904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169393950).

114224904 is an abundant number, since it is smaller than the sum of its proper divisors (224562996).

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

114224904 is a wasteful number, since it uses less digits than its factorization.

114224904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114224904 is about 10687.6051573774. The cubic root of 114224904 is about 485.1994135160.

The spelling of 114224904 in words is "one hundred fourteen million, two hundred twenty-four thousand, nine hundred four".