221649168 has 80 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 67971072.

The previous prime is 221649143. The next prime is 221649187. The reversal of 221649168 is 861946122.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 369733 + ... + 370331.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^221649168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221649168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

221649168 is an abundant number, since it is smaller than the sum of its proper divisors (397061232).

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

221649168 is a wasteful number, since it uses less digits than its factorization.

221649168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 221649168 is about 14887.8866196650. The cubic root of 221649168 is about 605.1857617764.

The spelling of 221649168 in words is "two hundred twenty-one million, six hundred forty-nine thousand, one hundred sixty-eight".