2263200 has 144 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 563200.

The previous prime is 2263171. The next prime is 2263201. The reversal of 2263200 is 23622.

2263200 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2263200.

It is not an unprimeable number, because it can be changed into a prime (2263201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55180 + ... + 55220.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^2263200 is an apocalyptic number.

2263200 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 2263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2263200 is an abundant number, since it is smaller than the sum of its proper divisors (5611296).

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

2263200 is a wasteful number, since it uses less digits than its factorization.

2263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2263200 is about 1504.3935655273. The cubic root of 2263200 is about 131.2928204954.

Adding to 2263200 its reverse (23622), we get a palindrome (2286822).

The spelling of 2263200 in words is "two million, two hundred sixty-three thousand, two hundred".