14233200 has 120 divisors (see below), whose sum is σ = 47281200. Its totient is φ = 3655680.

The previous prime is 14233189. The next prime is 14233207. The reversal of 14233200 is 233241.

14233200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 14233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14233207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34596 + ... + 35004.

It is an arithmetic number, because the mean of its divisors is an integer number (394010).

Almost surely, 2^14233200 is an apocalyptic number.

14233200 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 14233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23640600).

14233200 is an abundant number, since it is smaller than the sum of its proper divisors (33048000).

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

14233200 is a wasteful number, since it uses less digits than its factorization.

14233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 14233200 is about 3772.6913470360. The cubic root of 14233200 is about 242.3450670104.

Adding to 14233200 its reverse (233241), we get a palindrome (14466441).

The spelling of 14233200 in words is "fourteen million, two hundred thirty-three thousand, two hundred".