233221200 has 240 divisors, whose sum is σ = 805394880. Its totient is φ = 57507840.

The previous prime is 233221189. The next prime is 233221237. The reversal of 233221200 is 2122332.

233221200 is digitally balanced in base 2 and base 3, 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 (240).

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 233221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208304 + ... + 1208496.

It is an arithmetic number, because the mean of its divisors is an integer number (3355812).

Almost surely, 2^233221200 is an apocalyptic number.

233221200 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 233221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402697440).

233221200 is an abundant number, since it is smaller than the sum of its proper divisors (572173680).

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

233221200 is a wasteful number, since it uses less digits than its factorization.

233221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

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

The square root of 233221200 is about 15271.5814505244. The cubic root of 233221200 is about 615.5396149627.

Adding to 233221200 its reverse (2122332), we get a palindrome (235343532).

It can be divided in two parts, 2332 and 21200, that added together give a palindrome (23532).

The spelling of 233221200 in words is "two hundred thirty-three million, two hundred twenty-one thousand, two hundred".