221306224140 has 48 divisors (see below), whose sum is σ = 688508254560. Its totient is φ = 59014992960.

The previous prime is 221306224129. The next prime is 221306224169. The reversal of 221306224140 is 41422603122.

221306224140 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 622 + 4 + 1 + 4 + 0 = 666.

221306224140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204912631 + ... + 204913710.

It is an arithmetic number, because the mean of its divisors is an integer number (14343921970).

Almost surely, 2^221306224140 is an apocalyptic number.

221306224140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221306224140 is an abundant number, since it is smaller than the sum of its proper divisors (467202030420).

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

221306224140 is a wasteful number, since it uses less digits than its factorization.

221306224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409826359 (or 409826351 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221306224140 its reverse (41422603122), we get a palindrome (262728827262).

The spelling of 221306224140 in words is "two hundred twenty-one billion, three hundred six million, two hundred twenty-four thousand, one hundred forty".