2212164 has 24 divisors (see below), whose sum is σ = 5735520. Its totient is φ = 737352.

The previous prime is 2212157. The next prime is 2212169. The reversal of 2212164 is 4612122.

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.

It is a d-powerful number, because it can be written as 2 + 2¹³ + 1 + 2¹⁹ + 1 + 6⁸ + 4³ .

It is not an unprimeable number, because it can be changed into a prime (2212169) 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 7 ways as a sum of consecutive naturals, for example, 10134 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (238980).

2^2212164 is an apocalyptic number.

It is an amenable number.

2212164 is an abundant number, since it is smaller than the sum of its proper divisors (3523356).

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

2212164 is a wasteful number, since it uses less digits than its factorization.

2212164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20496 (or 20488 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2212164 is about 1487.3345286115. The cubic root of 2212164 is about 130.2984072022.

Adding to 2212164 its product of digits (192), we get a triangular number (2212356 = T₂₁₀₃).

Adding to 2212164 its reverse (4612122), we get a palindrome (6824286).

The spelling of 2212164 in words is "two million, two hundred twelve thousand, one hundred sixty-four".