221206441 has 8 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 218888208.

The previous prime is 221206409. The next prime is 221206457. The reversal of 221206441 is 144602122.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221206441 - 2⁵ = 221206409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221206541) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51135 + ... + 55291.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 2^221206441 is an apocalyptic number.

It is an amenable number.

221206441 is a deficient number, since it is larger than the sum of its proper divisors (2327639).

221206441 is a wasteful number, since it uses less digits than its factorization.

221206441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 221206441 is about 14873.0104888015. The cubic root of 221206441 is about 604.7825560127.

Adding to 221206441 its reverse (144602122), we get a palindrome (365808563).

It can be divided in two parts, 22120 and 6441, that added together give a 4-th power (28561 = 13⁴).

The spelling of 221206441 in words is "two hundred twenty-one million, two hundred six thousand, four hundred forty-one".