2218033216 has 105 divisors (see below), whose sum is σ = 5302864299. Its totient is φ = 917806848.

The previous prime is 2218033201. The next prime is 2218033217. The reversal of 2218033216 is 6123308122.

The square root of 2218033216 is 47096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 2212761600 = 2296^2 + 47040^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2218033217) 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 14 ways as a sum of consecutive naturals, for example, 76483890 + ... + 76483918.

Almost surely, 2^2218033216 is an apocalyptic number.

2218033216 is the 47096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218033216

2218033216 is an abundant number, since it is smaller than the sum of its proper divisors (3084831083).

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

2218033216 is an frugal number, since it uses more digits than its factorization.

2218033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 2218033216 is about 1304.1353943749.

The spelling of 2218033216 in words is "two billion, two hundred eighteen million, thirty-three thousand, two hundred sixteen".