2213536 has 48 divisors (see below), whose sum is σ = 4985064. Its totient is φ = 958464.

The previous prime is 2213531. The next prime is 2213537. The reversal of 2213536 is 6353122.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 1123600 = 1044^2 + 1060^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6916 + ... + 7228.

2^2213536 is an apocalyptic number.

2213536 is a gapful number since it is divisible by the number (26) 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 2213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492532).

2213536 is an abundant number, since it is smaller than the sum of its proper divisors (2771528).

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

2213536 is a wasteful number, since it uses less digits than its factorization.

2213536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2213536 is about 1487.7956848976. The cubic root of 2213536 is about 130.3253389712.

Adding to 2213536 its reverse (6353122), we get a palindrome (8566658).

It can be divided in two parts, 221 and 3536, that multiplied together give a square (781456 = 884²).

The spelling of 2213536 in words is "two million, two hundred thirteen thousand, five hundred thirty-six".