224116164 has 18 divisors (see below), whose sum is σ = 566515950. Its totient is φ = 74705376.

The previous prime is 224116159. The next prime is 224116181. The reversal of 224116164 is 461611422.

224116164 is a `hidden beast` number, since 2 + 2 + 41 + 1 + 616 + 4 = 666.

224116164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 169208064 + 54908100 = 13008^2 + 7410^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3112689 + ... + 3112760.

Almost surely, 2^224116164 is an apocalyptic number.

It is an amenable number.

224116164 is an abundant number, since it is smaller than the sum of its proper divisors (342399786).

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

224116164 is a wasteful number, since it uses less digits than its factorization.

224116164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225459 (or 6225454 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 224116164 is about 14970.5098109583. The cubic root of 224116164 is about 607.4227590664.

Adding to 224116164 its reverse (461611422), we get a palindrome (685727586).

The spelling of 224116164 in words is "two hundred twenty-four million, one hundred sixteen thousand, one hundred sixty-four".