221949288 has 128 divisors (see below), whose sum is σ = 679536000. Its totient is φ = 66562560.

The previous prime is 221949281. The next prime is 221949307. The reversal of 221949288 is 882949122.

It is a happy number.

It is a super-2 number, since 2×221949288² = 98522972887413888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (221949281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258556 + ... + 259412.

It is an arithmetic number, because the mean of its divisors is an integer number (5308875).

Almost surely, 2^221949288 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 221949288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339768000).

221949288 is an abundant number, since it is smaller than the sum of its proper divisors (457586712).

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

221949288 is a wasteful number, since it uses less digits than its factorization.

221949288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 221949288 is about 14897.9625452610. The cubic root of 221949288 is about 605.4587854880.

The spelling of 221949288 in words is "two hundred twenty-one million, nine hundred forty-nine thousand, two hundred eighty-eight".