223146 has 72 divisors (see below), whose sum is σ = 640224. Its totient is φ = 55440.

The previous prime is 223133. The next prime is 223151. The reversal of 223146 is 641322.

It is a happy number.

It is a super-4 number, since 4×223146⁴ (a number of 22 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a Curzon number.

It is a plaindrome in base 16.

It is an unprimeable 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 35 ways as a sum of consecutive naturals, for example, 9691 + ... + 9713.

It is an arithmetic number, because the mean of its divisors is an integer number (8892).

2²²³¹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112).

223146 is an abundant number, since it is smaller than the sum of its proper divisors (417078).

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

223146 is a wasteful number, since it uses less digits than its factorization.

223146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 223146 is about 472.3833189265. The cubic root of 223146 is about 60.6545011767.

Adding to 223146 its reverse (641322), we get a palindrome (864468).

The spelling of 223146 in words is "two hundred twenty-three thousand, one hundred forty-six".