2023330000 has 100 divisors (see below), whose sum is σ = 5068330740. Its totient is φ = 781312000.

The previous prime is 2023329967. The next prime is 2023330003. The reversal of 2023330000 is 333202.

It can be written as a sum of positive squares in 10 ways, for example, as 1783203984 + 240126016 = 42228^2 + 15496^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023330003) 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 19 ways as a sum of consecutive naturals, for example, 286512 + ... + 293488.

Almost surely, 2^2023330000 is an apocalyptic number.

2023330000 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 2023330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534165370).

2023330000 is an abundant number, since it is smaller than the sum of its proper divisors (3045000740).

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

2023330000 is an equidigital number, since it uses as much as digits as its factorization.

2023330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 2023330000 is about 44981.4406172146. The cubic root of 2023330000 is about 1264.8011164884.

Adding to 2023330000 its reverse (333202), we get a palindrome (2023663202).

The spelling of 2023330000 in words is "two billion, twenty-three million, three hundred thirty thousand".