114200032 has 96 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 51010560.

The previous prime is 114200017. The next prime is 114200041. The reversal of 114200032 is 230002411.

It is a junction number, because it is equal to n+sod(n) for n = 114199985 and 114200021.

It is a congruent number.

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, 1375863 + ... + 1375945.

It is an arithmetic number, because the mean of its divisors is an integer number (2610720).

Almost surely, 2^114200032 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 114200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

114200032 is an abundant number, since it is smaller than the sum of its proper divisors (136429088).

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

114200032 is a wasteful number, since it uses less digits than its factorization.

114200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 114200032 is about 10686.4415031385. The cubic root of 114200032 is about 485.1641942383.

Adding to 114200032 its reverse (230002411), we get a palindrome (344202443).

The spelling of 114200032 in words is "one hundred fourteen million, two hundred thousand, thirty-two".