2023200000 has 324 divisors, whose sum is σ = 7317211356. Its totient is φ = 537600000.

The previous prime is 2023199957. The next prime is 2023200029. The reversal of 2023200000 is 23202.

It can be written as a sum of positive squares in 6 ways, for example, as 1522872576 + 500327424 = 39024^2 + 22368^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7199860 + ... + 7200140.

Almost surely, 2^2023200000 is an apocalyptic number.

2023200000 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 2023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658605678).

2023200000 is an abundant number, since it is smaller than the sum of its proper divisors (5294011356).

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

2023200000 is an frugal number, since it uses more digits than its factorization.

2023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2023200000 is about 44979.9955535791. The cubic root of 2023200000 is about 1264.7740278661.

Adding to 2023200000 its reverse (23202), we get a palindrome (2023223202).

The spelling of 2023200000 in words is "two billion, twenty-three million, two hundred thousand".