221244880 has 40 divisors (see below), whose sum is σ = 515393352. Its totient is φ = 88326144.

The previous prime is 221244827. The next prime is 221244887. The reversal of 221244880 is 88442122.

It can be written as a sum of positive squares in 4 ways, for example, as 130690624 + 90554256 = 11432^2 + 9516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221244887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43764 + ... + 48556.

Almost surely, 2^221244880 is an apocalyptic number.

221244880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221244880 is an abundant number, since it is smaller than the sum of its proper divisors (294148472).

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

221244880 is a wasteful number, since it uses less digits than its factorization.

221244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 221244880 is about 14874.3026727306. The cubic root of 221244880 is about 604.8175849660.

The spelling of 221244880 in words is "two hundred twenty-one million, two hundred forty-four thousand, eight hundred eighty".