221719980 has 96 divisors (see below), whose sum is σ = 634927104. Its totient is φ = 57798144.

The previous prime is 221719973. The next prime is 221720003. The reversal of 221719980 is 89917122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976627 + ... + 976853.

It is an arithmetic number, because the mean of its divisors is an integer number (6613824).

Almost surely, 2^221719980 is an apocalyptic number.

221719980 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 221719980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317463552).

221719980 is an abundant number, since it is smaller than the sum of its proper divisors (413207124).

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

221719980 is a wasteful number, since it uses less digits than its factorization.

221719980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 221719980 is about 14890.2646047678. The cubic root of 221719980 is about 605.2502027300.

The spelling of 221719980 in words is "two hundred twenty-one million, seven hundred nineteen thousand, nine hundred eighty".