233011200 has 288 divisors, whose sum is σ = 810416880. Its totient is φ = 58982400.

The previous prime is 233011199. The next prime is 233011213. The reversal of 233011200 is 2110332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5683180 + ... + 5683220.

Almost surely, 2^233011200 is an apocalyptic number.

233011200 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 233011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

233011200 is an abundant number, since it is smaller than the sum of its proper divisors (577405680).

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

233011200 is a wasteful number, since it uses less digits than its factorization.

233011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 233011200 is about 15264.7043862631. The cubic root of 233011200 is about 615.3548088127.

Adding to 233011200 its reverse (2110332), we get a palindrome (235121532).

It can be divided in two parts, 2330 and 11200, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 233011200 in words is "two hundred thirty-three million, eleven thousand, two hundred".