221084864 has 336 divisors, whose sum is σ = 656722080. Its totient is φ = 72253440.

The previous prime is 221084863. The next prime is 221084867. The reversal of 221084864 is 468480122.

221084864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221084861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7623602 + ... + 7623630.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^221084864 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 221084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328361040).

221084864 is an abundant number, since it is smaller than the sum of its proper divisors (435637216).

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

221084864 is a wasteful number, since it uses less digits than its factorization.

221084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 221084864 is about 14868.9227585592. The cubic root of 221084864 is about 604.6717377757.

The spelling of 221084864 in words is "two hundred twenty-one million, eighty-four thousand, eight hundred sixty-four".