221046 has 32 divisors (see below), whose sum is σ = 533760. Its totient is φ = 59616.

The previous prime is 221021. The next prime is 221047. The reversal of 221046 is 640122.

It is a super-2 number, since 2×221046² = 97722668232, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221046.

It is not an unprimeable number, because it can be changed into a prime (221047) by changing a digit.

221046 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (16680).

2²²¹⁰⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266880).

221046 is an abundant number, since it is smaller than the sum of its proper divisors (312714).

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

221046 is a wasteful number, since it uses less digits than its factorization.

221046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221046 is about 470.1552934935. The cubic root of 221046 is about 60.4636304414.

Adding to 221046 its reverse (640122), we get a palindrome (861168).

The spelling of 221046 in words is "two hundred twenty-one thousand, forty-six".