114224032 has 96 divisors (see below), whose sum is σ = 256196304. Its totient is φ = 49766400.

The previous prime is 114224023. The next prime is 114224087. The reversal of 114224032 is 230422411.

It can be written as a sum of positive squares in 8 ways, for example, as 4309776 + 109914256 = 2076^2 + 10484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630982 + ... + 631162.

Almost surely, 2^114224032 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 114224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128098152).

114224032 is an abundant number, since it is smaller than the sum of its proper divisors (141972272).

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

114224032 is a wasteful number, since it uses less digits than its factorization.

114224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 114224032 is about 10687.5643623793. The cubic root of 114224032 is about 485.1981788321.

Adding to 114224032 its reverse (230422411), we get a palindrome (344646443).

The spelling of 114224032 in words is "one hundred fourteen million, two hundred twenty-four thousand, thirty-two".