221793216 has 56 divisors (see below), whose sum is σ = 592927440. Its totient is φ = 73162752.

The previous prime is 221793197. The next prime is 221793223. The reversal of 221793216 is 612397122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12670 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (10587990).

Almost surely, 2^221793216 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 221793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296463720).

221793216 is an abundant number, since it is smaller than the sum of its proper divisors (371134224).

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

221793216 is a wasteful number, since it uses less digits than its factorization.

221793216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021 (or 12011 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 221793216 is about 14892.7235924125. The cubic root of 221793216 is about 605.3168351618.

The spelling of 221793216 in words is "two hundred twenty-one million, seven hundred ninety-three thousand, two hundred sixteen".