221117288 has 64 divisors (see below), whose sum is σ = 505958400. Its totient is φ = 88482240.

The previous prime is 221117279. The next prime is 221117329. The reversal of 221117288 is 882711122.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74081 + ... + 77007.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2^221117288 is an apocalyptic number.

221117288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221117288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).

221117288 is an abundant number, since it is smaller than the sum of its proper divisors (284841112).

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

221117288 is a wasteful number, since it uses less digits than its factorization.

221117288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3026 counting only the distinct ones).

The product of its digits is 3584, while the sum is 32.

The square root of 221117288 is about 14870.0130463964. The cubic root of 221117288 is about 604.7012964373.

The spelling of 221117288 in words is "two hundred twenty-one million, one hundred seventeen thousand, two hundred eighty-eight".