221288080 has 40 divisors (see below), whose sum is σ = 554073912. Its totient is φ = 81705984.

The previous prime is 221288077. The next prime is 221288107. The reversal of 221288080 is 80882122.

It can be written as a sum of positive squares in 4 ways, for example, as 47997184 + 173290896 = 6928^2 + 13164^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105349 + ... + 107428.

Almost surely, 2^221288080 is an apocalyptic number.

221288080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221288080 is an abundant number, since it is smaller than the sum of its proper divisors (332785832).

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

221288080 is a wasteful number, since it uses less digits than its factorization.

221288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212803 (or 212797 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 221288080 is about 14875.7547707671. The cubic root of 221288080 is about 604.8569477138.

The spelling of 221288080 in words is "two hundred twenty-one million, two hundred eighty-eight thousand, eighty".