221227272 has 96 divisors (see below), whose sum is σ = 691204800. Its totient is φ = 62612352.

The previous prime is 221227229. The next prime is 221227291. The reversal of 221227272 is 272722122.

221227272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52923 + ... + 56949.

It is an arithmetic number, because the mean of its divisors is an integer number (7200050).

Almost surely, 2^221227272 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 221227272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345602400).

221227272 is an abundant number, since it is smaller than the sum of its proper divisors (469977528).

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

221227272 is a wasteful number, since it uses less digits than its factorization.

221227272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4148 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 221227272 is about 14873.7107676598. The cubic root of 221227272 is about 604.8015395316.

Adding to 221227272 its reverse (272722122), we get a palindrome (493949394).

The spelling of 221227272 in words is "two hundred twenty-one million, two hundred twenty-seven thousand, two hundred seventy-two".