2232133300200 has 384 divisors, whose sum is σ = 7290939600000. Its totient is φ = 564085616640.

The previous prime is 2232133300193. The next prime is 2232133300213. The reversal of 2232133300200 is 20033312322.

2232133300200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232133300200³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875688526 + ... + 875691074.

It is an arithmetic number, because the mean of its divisors is an integer number (18986821875).

Almost surely, 2^{2232133300200} is an apocalyptic number.

2232133300200 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 2232133300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645469800000).

2232133300200 is an abundant number, since it is smaller than the sum of its proper divisors (5058806299800).

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

2232133300200 is a wasteful number, since it uses less digits than its factorization.

2232133300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2232133300200 its reverse (20033312322), we get a palindrome (2252166612522).

The spelling of 2232133300200 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-three million, three hundred thousand, two hundred".