233221220321 has 8 divisors (see below), whose sum is σ = 247510423944. Its totient is φ = 218995384320.

The previous prime is 233221220303. The next prime is 233221220377. The reversal of 233221220321 is 123022122332.

233221220321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13156090000 + 220065130321 = 114700^2 + 469111^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233221220321 - 2⁶ = 233221220257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233221220381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15834320 + ... + 15849041.

It is an arithmetic number, because the mean of its divisors is an integer number (30938802993).

Almost surely, 2^233221220321 is an apocalyptic number.

It is an amenable number.

233221220321 is a deficient number, since it is larger than the sum of its proper divisors (14289203623).

233221220321 is a wasteful number, since it uses less digits than its factorization.

233221220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31683811.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 233221220321 its reverse (123022122332), we get a palindrome (356243342653).

The spelling of 233221220321 in words is "two hundred thirty-three billion, two hundred twenty-one million, two hundred twenty thousand, three hundred twenty-one".