221719680 has 640 divisors, whose sum is σ = 995258880. Its totient is φ = 45785088.

The previous prime is 221719679. The next prime is 221719691. The reversal of 221719680 is 86917122.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717417 + ... + 4717463.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 2^221719680 is an apocalyptic number.

221719680 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 221719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497629440).

221719680 is an abundant number, since it is smaller than the sum of its proper divisors (773539200).

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

221719680 is a wasteful number, since it uses less digits than its factorization.

221719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 221719680 is about 14890.2545310683. The cubic root of 221719680 is about 605.2499297504.

The spelling of 221719680 in words is "two hundred twenty-one million, seven hundred nineteen thousand, six hundred eighty".