221541280 has 96 divisors (see below), whose sum is σ = 561738240. Its totient is φ = 82268160.

The previous prime is 221541259. The next prime is 221541337. The reversal of 221541280 is 82145122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214365 + ... + 215395.

It is an arithmetic number, because the mean of its divisors is an integer number (5851440).

Almost surely, 2^221541280 is an apocalyptic number.

221541280 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 221541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280869120).

221541280 is an abundant number, since it is smaller than the sum of its proper divisors (340196960).

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

221541280 is a wasteful number, since it uses less digits than its factorization.

221541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 221541280 is about 14884.2628302513. The cubic root of 221541280 is about 605.0875542071.

The spelling of 221541280 in words is "two hundred twenty-one million, five hundred forty-one thousand, two hundred eighty".