2213136 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 715392.

The previous prime is 2213093. The next prime is 2213137. The reversal of 2213136 is 6313122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 2 + 2¹¹ + 1 + 3³ + 1 + 3¹² + 6⁸ .

It is not an unprimeable number, because it can be changed into a prime (2213137) 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 15 ways as a sum of consecutive naturals, for example, 20250 + ... + 20358.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

2^2213136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2213136 is an abundant number, since it is smaller than the sum of its proper divisors (4334064).

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

2213136 is a wasteful number, since it uses less digits than its factorization.

2213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2213136 is about 1487.6612517640. The cubic root of 2213136 is about 130.3174882931.

Adding to 2213136 its reverse (6313122), we get a palindrome (8526258).

The spelling of 2213136 in words is "two million, two hundred thirteen thousand, one hundred thirty-six".