221864268 has 48 divisors (see below), whose sum is σ = 540540000. Its totient is φ = 70737408.

The previous prime is 221864267. The next prime is 221864323. The reversal of 221864268 is 862468122.

It is not an unprimeable number, because it can be changed into a prime (221864267) by changing a digit.

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, 35008 + ... + 40856.

It is an arithmetic number, because the mean of its divisors is an integer number (11261250).

Almost surely, 2^221864268 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 221864268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270000).

221864268 is an abundant number, since it is smaller than the sum of its proper divisors (318675732).

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

221864268 is a wasteful number, since it uses less digits than its factorization.

221864268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5992 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 221864268 is about 14895.1088616364. The cubic root of 221864268 is about 605.3814665043.

The spelling of 221864268 in words is "two hundred twenty-one million, eight hundred sixty-four thousand, two hundred sixty-eight".