232114200 has 96 divisors (see below), whose sum is σ = 734952960. Its totient is φ = 60572800.

The previous prime is 232114193. The next prime is 232114237. The reversal of 232114200 is 2411232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232114200.

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 23 ways as a sum of consecutive naturals, for example, 24085 + ... + 32315.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2^232114200 is an apocalyptic number.

232114200 is a gapful number since it is divisible by the number (20) 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 232114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367476480).

232114200 is an abundant number, since it is smaller than the sum of its proper divisors (502838760).

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

232114200 is a wasteful number, since it uses less digits than its factorization.

232114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232114200 is about 15235.2945491710. The cubic root of 232114200 is about 614.5641700303.

Adding to 232114200 its reverse (2411232), we get a palindrome (234525432).

The spelling of 232114200 in words is "two hundred thirty-two million, one hundred fourteen thousand, two hundred".