2252200 has 24 divisors (see below), whose sum is σ = 5236830. Its totient is φ = 900800.

The previous prime is 2252189. The next prime is 2252209. The reversal of 2252200 is 22522.

It can be written as a sum of positive squares in 3 ways, for example, as 2172676 + 79524 = 1474^2 + 282^2 .

It is not an unprimeable number, because it can be changed into a prime (2252209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5431 + ... + 5830.

2^2252200 is an apocalyptic number.

2252200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252200 is an abundant number, since it is smaller than the sum of its proper divisors (2984630).

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

2252200 is a wasteful number, since it uses less digits than its factorization.

2252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2252200 is about 1500.7331541617. The cubic root of 2252200 is about 131.0797641765.

Adding to 2252200 its reverse (22522), we get a palindrome (2274722).

Multiplying 2252200 by its reverse (22522), we get a square (50724048400 = 225220²).

2252200 divided by its reverse (22522) gives a square (100 = 10²).

The spelling of 2252200 in words is "two million, two hundred fifty-two thousand, two hundred".