233200013200 has 240 divisors, whose sum is σ = 715550451840. Its totient is φ = 70912512000.

The previous prime is 233200013173. The next prime is 233200013209. The reversal of 233200013200 is 2310002332.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (233200013209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170466 + ... + 1355134.

It is an arithmetic number, because the mean of its divisors is an integer number (2981460216).

Almost surely, 2^233200013200 is an apocalyptic number.

233200013200 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 233200013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357775225920).

233200013200 is an abundant number, since it is smaller than the sum of its proper divisors (482350438640).

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

233200013200 is a wasteful number, since it uses less digits than its factorization.

233200013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184746 (or 184735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 233200013200 its reverse (2310002332), we get a palindrome (235510015532).

The spelling of 233200013200 in words is "two hundred thirty-three billion, two hundred million, thirteen thousand, two hundred".