2211200 has 48 divisors (see below), whose sum is σ = 5470260. Its totient is φ = 883200.

The previous prime is 2211179. The next prime is 2211211. The reversal of 2211200 is 21122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2855 + ... + 3545.

2^2211200 is an apocalyptic number.

2211200 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 2211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735130).

2211200 is an abundant number, since it is smaller than the sum of its proper divisors (3259060).

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

2211200 is an equidigital number, since it uses as much as digits as its factorization.

2211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2211200 is about 1487.0104236353. The cubic root of 2211200 is about 130.2794776361.

Adding to 2211200 its reverse (21122), we get a palindrome (2232322).

The spelling of 2211200 in words is "two million, two hundred eleven thousand, two hundred".