221244422034320 has 20 divisors (see below), whose sum is σ = 514393281229980. Its totient is φ = 88497768813696.

The previous prime is 221244422034281. The next prime is 221244422034367. The reversal of 221244422034320 is 23430224442122.

It can be written as a sum of positive squares in 2 ways, for example, as 105708666486784 + 115535755547536 = 10281472^2 + 10748756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×221244422034320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382777637635 + ... + 1382777637794.

It is an arithmetic number, because the mean of its divisors is an integer number (25719664061499).

Almost surely, 2^{221244422034320} is an apocalyptic number.

221244422034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221244422034320 is an abundant number, since it is smaller than the sum of its proper divisors (293148859195660).

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

221244422034320 is a wasteful number, since it uses less digits than its factorization.

221244422034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765555275442 (or 2765555275436 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 221244422034320 its reverse (23430224442122), we get a palindrome (244674646476442).

The spelling of 221244422034320 in words is "two hundred twenty-one trillion, two hundred forty-four billion, four hundred twenty-two million, thirty-four thousand, three hundred twenty".