233132221020 has 192 divisors, whose sum is σ = 700376979456. Its totient is φ = 57733877760.

The previous prime is 233132220989. The next prime is 233132221031. The reversal of 233132221020 is 20122231332.

It is a happy number.

233132221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104215342 + ... + 104217578.

It is an arithmetic number, because the mean of its divisors is an integer number (3647796768).

Almost surely, 2^233132221020 is an apocalyptic number.

233132221020 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 233132221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350188489728).

233132221020 is an abundant number, since it is smaller than the sum of its proper divisors (467244758436).

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

233132221020 is a wasteful number, since it uses less digits than its factorization.

233132221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233132221020 its reverse (20122231332), we get a palindrome (253254452352).

The spelling of 233132221020 in words is "two hundred thirty-three billion, one hundred thirty-two million, two hundred twenty-one thousand, twenty".