2211132200 has 96 divisors (see below), whose sum is σ = 5474883960. Its totient is φ = 827596800.

The previous prime is 2211132127. The next prime is 2211132221. The reversal of 2211132200 is 22311122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2696164 + 2208436036 = 1642^2 + 46994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613604 + ... + 617196.

Almost surely, 2^2211132200 is an apocalyptic number.

2211132200 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 2211132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737441980).

2211132200 is an abundant number, since it is smaller than the sum of its proper divisors (3263751760).

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

2211132200 is a wasteful number, since it uses less digits than its factorization.

2211132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2211132200 is about 47022.6775077728. The cubic root of 2211132200 is about 1302.7814607570.

Adding to 2211132200 its reverse (22311122), we get a palindrome (2233443322).

The spelling of 2211132200 in words is "two billion, two hundred eleven million, one hundred thirty-two thousand, two hundred".