2023200 has 108 divisors (see below), whose sum is σ = 7159698. Its totient is φ = 537600.

The previous prime is 2023183. The next prime is 2023201. The reversal of 2023200 is 23202.

It can be written as a sum of positive squares in 3 ways, for example, as 1648656 + 374544 = 1284^2 + 612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2023201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7060 + ... + 7340.

2^2023200 is an apocalyptic number.

2023200 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 2023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579849).

2023200 is an abundant number, since it is smaller than the sum of its proper divisors (5136498).

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

2023200 is a wasteful number, since it uses less digits than its factorization.

2023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

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

The square root of 2023200 is about 1422.3923509356. The cubic root of 2023200 is about 126.4774027866.

Adding to 2023200 its reverse (23202), we get a palindrome (2046402).

It can be divided in two parts, 20 and 23200, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 2023200 in words is "two million, twenty-three thousand, two hundred".