221716320 has 384 divisors, whose sum is σ = 882524160. Its totient is φ = 45619200.

The previous prime is 221716241. The next prime is 221716337. The reversal of 221716320 is 23617122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1468245 + ... + 1468395.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^221716320 is an apocalyptic number.

221716320 is a gapful number since it is divisible by the number (20) 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 221716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

221716320 is an abundant number, since it is smaller than the sum of its proper divisors (660807840).

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

221716320 is a wasteful number, since it uses less digits than its factorization.

221716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 221716320 is about 14890.1417051686. The cubic root of 221716320 is about 605.2468723612.

The spelling of 221716320 in words is "two hundred twenty-one million, seven hundred sixteen thousand, three hundred twenty".