221968336 has 40 divisors (see below), whose sum is σ = 454658400. Its totient is φ = 104688000.

The previous prime is 221968333. The next prime is 221968343. The reversal of 221968336 is 633869122.

It is a super-3 number, since 3×221968336³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221968333) 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, 74850 + ... + 77758.

It is an arithmetic number, because the mean of its divisors is an integer number (11366460).

Almost surely, 2^221968336 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 221968336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227329200).

221968336 is an abundant number, since it is smaller than the sum of its proper divisors (232690064).

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

221968336 is a wasteful number, since it uses less digits than its factorization.

221968336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3181 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 221968336 is about 14898.6018135931. The cubic root of 221968336 is about 605.4761054340.

The spelling of 221968336 in words is "two hundred twenty-one million, nine hundred sixty-eight thousand, three hundred thirty-six".