221828868 has 84 divisors (see below), whose sum is σ = 587596800. Its totient is φ = 73238256.

The previous prime is 221828863. The next prime is 221828891. The reversal of 221828868 is 868828122.

It is a super-2 number, since 2×221828868² = 98416093356322848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221828863) 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 27 ways as a sum of consecutive naturals, for example, 370033 + ... + 370631.

It is an arithmetic number, because the mean of its divisors is an integer number (6995200).

Almost surely, 2^221828868 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 221828868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293798400).

221828868 is an abundant number, since it is smaller than the sum of its proper divisors (365767932).

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

221828868 is a wasteful number, since it uses less digits than its factorization.

221828868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 221828868 is about 14893.9205046892. The cubic root of 221828868 is about 605.3492671721.

The spelling of 221828868 in words is "two hundred twenty-one million, eight hundred twenty-eight thousand, eight hundred sixty-eight".