221328016 has 80 divisors (see below), whose sum is σ = 535465728. Its totient is φ = 86284800.

The previous prime is 221328007. The next prime is 221328061. The reversal of 221328016 is 610823122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102306 + ... + 104446.

Almost surely, 2^221328016 is an apocalyptic number.

221328016 is a gapful number since it is divisible by the number (26) 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 221328016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864).

221328016 is an abundant number, since it is smaller than the sum of its proper divisors (314137712).

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

221328016 is a wasteful number, since it uses less digits than its factorization.

221328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 221328016 is about 14877.0970286545. The cubic root of 221328016 is about 604.8933318307.

The spelling of 221328016 in words is "two hundred twenty-one million, three hundred twenty-eight thousand, sixteen".