233022104320 has 288 divisors, whose sum is σ = 614985638400. Its totient is φ = 84202094592.

The previous prime is 233022104291. The next prime is 233022104327. The reversal of 233022104320 is 23401220332.

It is a super-2 number, since 2×233022104320² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233022104291 and 233022104300.

It is not an unprimeable number, because it can be changed into a prime (233022104327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346243504 + ... + 346244176.

It is an arithmetic number, because the mean of its divisors is an integer number (2135366800).

Almost surely, 2^233022104320 is an apocalyptic number.

233022104320 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 233022104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307492819200).

233022104320 is an abundant number, since it is smaller than the sum of its proper divisors (381963534080).

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

233022104320 is a wasteful number, since it uses less digits than its factorization.

233022104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 233022104320 its reverse (23401220332), we get a palindrome (256423324652).

The spelling of 233022104320 in words is "two hundred thirty-three billion, twenty-two million, one hundred four thousand, three hundred twenty".