221144310320 has 80 divisors (see below), whose sum is σ = 515663057952. Its totient is φ = 88199608320.

The previous prime is 221144310307. The next prime is 221144310329. The reversal of 221144310320 is 23013441122.

221144310320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (221144310329) by changing a digit.

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, 51630899 + ... + 51635181.

Almost surely, 2^221144310320 is an apocalyptic number.

221144310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221144310320 is an abundant number, since it is smaller than the sum of its proper divisors (294518747632).

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

221144310320 is a wasteful number, since it uses less digits than its factorization.

221144310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221144310320 its reverse (23013441122), we get a palindrome (244157751442).

The spelling of 221144310320 in words is "two hundred twenty-one billion, one hundred forty-four million, three hundred ten thousand, three hundred twenty".