2233200 has 60 divisors (see below), whose sum is σ = 7157528. Its totient is φ = 595200.

The previous prime is 2233199. The next prime is 2233201. The reversal of 2233200 is 23322.

It is an interprime number because it is at equal distance from previous prime (2233199) and next prime (2233201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 2130.

2^2233200 is an apocalyptic number.

2233200 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 2233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578764).

2233200 is an abundant number, since it is smaller than the sum of its proper divisors (4924328).

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

2233200 is a wasteful number, since it uses less digits than its factorization.

2233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2233200 is about 1494.3895074578. The cubic root of 2233200 is about 130.7101179016.

Adding to 2233200 its reverse (23322), we get a palindrome (2256522).

The spelling of 2233200 in words is "two million, two hundred thirty-three thousand, two hundred".