221916048 has 80 divisors (see below), whose sum is σ = 613502400. Its totient is φ = 68912640.

The previous prime is 221916031. The next prime is 221916049. The reversal of 221916048 is 840619122.

It is not an unprimeable number, because it can be changed into a prime (221916049) 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 15 ways as a sum of consecutive naturals, for example, 53638 + ... + 57626.

It is an arithmetic number, because the mean of its divisors is an integer number (7668780).

Almost surely, 2^221916048 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 221916048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306751200).

221916048 is an abundant number, since it is smaller than the sum of its proper divisors (391586352).

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

221916048 is a wasteful number, since it uses less digits than its factorization.

221916048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 221916048 is about 14896.8469146998. The cubic root of 221916048 is about 605.4285586811.

The spelling of 221916048 in words is "two hundred twenty-one million, nine hundred sixteen thousand, forty-eight".