221341024224 has 96 divisors (see below), whose sum is σ = 653356247040. Its totient is φ = 72891398016.

The previous prime is 221341024217. The next prime is 221341024253. The reversal of 221341024224 is 422420143122.

It is a happy number.

221341024224 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 410 + 24 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1471552 + ... + 1614975.

It is an arithmetic number, because the mean of its divisors is an integer number (6805794240).

Almost surely, 2^221341024224 is an apocalyptic number.

221341024224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221341024224 is an abundant number, since it is smaller than the sum of its proper divisors (432015222816).

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

221341024224 is a wasteful number, since it uses less digits than its factorization.

221341024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086629 (or 3086615 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221341024224 its reverse (422420143122), we get a palindrome (643761167346).

The spelling of 221341024224 in words is "two hundred twenty-one billion, three hundred forty-one million, twenty-four thousand, two hundred twenty-four".