233213233320 has 384 divisors, whose sum is σ = 809819337600. Its totient is φ = 60317623296.

The previous prime is 233213233307. The next prime is 233213233321. The reversal of 233213233320 is 23332312332.

233213233320 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 1 + 323 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (233213233321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139899127 + ... + 139900793.

It is an arithmetic number, because the mean of its divisors is an integer number (2108904525).

Almost surely, 2^233213233320 is an apocalyptic number.

233213233320 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 233213233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404909668800).

233213233320 is an abundant number, since it is smaller than the sum of its proper divisors (576606104280).

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

233213233320 is a wasteful number, since it uses less digits than its factorization.

233213233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233213233320 its reverse (23332312332), we get a palindrome (256545545652).

The spelling of 233213233320 in words is "two hundred thirty-three billion, two hundred thirteen million, two hundred thirty-three thousand, three hundred twenty".