2243200 has 48 divisors (see below), whose sum is σ = 5549310. Its totient is φ = 896000.

The previous prime is 2243183. The next prime is 2243203. The reversal of 2243200 is 23422.

It can be written as a sum of positive squares in 3 ways, for example, as 2005056 + 238144 = 1416^2 + 488^2 .

It is not an unprimeable number, because it can be changed into a prime (2243203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2850 + ... + 3550.

2^2243200 is an apocalyptic number.

2243200 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 2243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774655).

2243200 is an abundant number, since it is smaller than the sum of its proper divisors (3306110).

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

2243200 is an equidigital number, since it uses as much as digits as its factorization.

2243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2243200 is about 1497.7316181479. The cubic root of 2243200 is about 130.9049287865.

Adding to 2243200 its reverse (23422), we get a palindrome (2266622).

The spelling of 2243200 in words is "two million, two hundred forty-three thousand, two hundred".