230330213302200 has 1536 divisors, whose sum is σ = 845099910144000. Its totient is φ = 51275980800000.

The previous prime is 230330213302153. The next prime is 230330213302249. The reversal of 230330213302200 is 2203312033032.

It is a super-3 number, since 3×230330213302200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 409112279119 + ... + 409112279681.

It is an arithmetic number, because the mean of its divisors is an integer number (550195254000).

Almost surely, 2^{230330213302200} is an apocalyptic number.

230330213302200 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 230330213302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422549955072000).

230330213302200 is an abundant number, since it is smaller than the sum of its proper divisors (614769696841800).

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

230330213302200 is a wasteful number, since it uses less digits than its factorization.

230330213302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230330213302200 its reverse (2203312033032), we get a palindrome (232533525335232).

The spelling of 230330213302200 in words is "two hundred thirty trillion, three hundred thirty billion, two hundred thirteen million, three hundred two thousand, two hundred".