2253200 has 60 divisors (see below), whose sum is σ = 5581488. Its totient is φ = 873600.

The previous prime is 2253193. The next prime is 2253203. The reversal of 2253200 is 23522.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2253203) 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 11 ways as a sum of consecutive naturals, for example, 17135 + ... + 17265.

2^2253200 is an apocalyptic number.

2253200 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 2253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790744).

2253200 is an abundant number, since it is smaller than the sum of its proper divisors (3328288).

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

2253200 is a wasteful number, since it uses less digits than its factorization.

2253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2253200 is about 1501.0662876769. The cubic root of 2253200 is about 131.0991615611.

Adding to 2253200 its reverse (23522), we get a palindrome (2276722).

The spelling of 2253200 in words is "two million, two hundred fifty-three thousand, two hundred".