2023200800 has 72 divisors (see below), whose sum is σ = 5032435716. Its totient is φ = 793994240.

The previous prime is 2023200799. The next prime is 2023200827. The reversal of 2023200800 is 80023202.

It can be written as a sum of positive squares in 6 ways, for example, as 729216016 + 1293984784 = 27004^2 + 35972^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18542 + ... + 66258.

Almost surely, 2^2023200800 is an apocalyptic number.

2023200800 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 2023200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516217858).

2023200800 is an abundant number, since it is smaller than the sum of its proper divisors (3009234916).

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

2023200800 is a wasteful number, since it uses less digits than its factorization.

2023200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47790 (or 47777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2023200800 is about 44980.0044464204. The cubic root of 2023200800 is about 1264.7741945688.

The spelling of 2023200800 in words is "two billion, twenty-three million, two hundred thousand, eight hundred".