221030016 has 128 divisors (see below), whose sum is σ = 611755200. Its totient is φ = 70656000.

The previous prime is 221030009. The next prime is 221030053. The reversal of 221030016 is 610030122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221029977 and 221030004.

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, 1590075 + ... + 1590213.

Almost surely, 2^221030016 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 221030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305877600).

221030016 is an abundant number, since it is smaller than the sum of its proper divisors (390725184).

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

221030016 is a wasteful number, since it uses less digits than its factorization.

221030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 221030016 is about 14867.0782603711. The cubic root of 221030016 is about 604.6217301635.

Adding to 221030016 its reverse (610030122), we get a palindrome (831060138).

The spelling of 221030016 in words is "two hundred twenty-one million, thirty thousand, sixteen".