226164 has 24 divisors (see below), whose sum is σ = 540288. Its totient is φ = 73600.

The previous prime is 226141. The next prime is 226169. The reversal of 226164 is 461622.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 226164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226169) by changing a digit.

226164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (22512).

2²²⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

226164 is an abundant number, since it is smaller than the sum of its proper divisors (314124).

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

226164 is a wasteful number, since it uses less digits than its factorization.

226164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 226164 is about 475.5670299758. The cubic root of 226164 is about 60.9267238012.

Adding to 226164 its reverse (461622), we get a palindrome (687786).

The spelling of 226164 in words is "two hundred twenty-six thousand, one hundred sixty-four".