233313022320 has 640 divisors, whose sum is σ = 890283018240. Its totient is φ = 49421352960.

The previous prime is 233313022301. The next prime is 233313022379. The reversal of 233313022320 is 23220313332.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109587016 + ... + 109589144.

It is an arithmetic number, because the mean of its divisors is an integer number (1391067216).

Almost surely, 2^233313022320 is an apocalyptic number.

233313022320 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 233313022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445141509120).

233313022320 is an abundant number, since it is smaller than the sum of its proper divisors (656969995920).

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

233313022320 is a wasteful number, since it uses less digits than its factorization.

233313022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2267 counting only the distinct ones).

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

Adding to 233313022320 its reverse (23220313332), we get a palindrome (256533335652).

The spelling of 233313022320 in words is "two hundred thirty-three billion, three hundred thirteen million, twenty-two thousand, three hundred twenty".