233201320030200 has 384 divisors, whose sum is σ = 798048921600000. Its totient is φ = 56069347530240.

The previous prime is 233201320030153. The next prime is 233201320030201. The reversal of 233201320030200 is 2030023102332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233201320030201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49943121 + ... + 54412479.

It is an arithmetic number, because the mean of its divisors is an integer number (2078252400000).

Almost surely, 2^{233201320030200} is an apocalyptic number.

233201320030200 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 233201320030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399024460800000).

233201320030200 is an abundant number, since it is smaller than the sum of its proper divisors (564847601569800).

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

233201320030200 is a wasteful number, since it uses less digits than its factorization.

233201320030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469619 (or 4469610 counting only the distinct ones).

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

Adding to 233201320030200 its reverse (2030023102332), we get a palindrome (235231343132532).

The spelling of 233201320030200 in words is "two hundred thirty-three trillion, two hundred one billion, three hundred twenty million, thirty thousand, two hundred".