2216371400 has 72 divisors (see below), whose sum is σ = 5337287670. Its totient is φ = 855912960.

The previous prime is 2216371397. The next prime is 2216371411. The reversal of 2216371400 is 41736122.

It can be written as a sum of positive squares in 9 ways, for example, as 259016836 + 1957354564 = 16094^2 + 44242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2216371400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161612 + ... + 174788.

Almost surely, 2^2216371400 is an apocalyptic number.

2216371400 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 2216371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668643835).

2216371400 is an abundant number, since it is smaller than the sum of its proper divisors (3120916270).

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

2216371400 is a wasteful number, since it uses less digits than its factorization.

2216371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2216371400 is about 47078.3538369812. The cubic root of 2216371400 is about 1303.8096140806.

The spelling of 2216371400 in words is "two billion, two hundred sixteen million, three hundred seventy-one thousand, four hundred".