221434311324 has 24 divisors (see below), whose sum is σ = 521795706768. Its totient is φ = 73080630400.

The previous prime is 221434311313. The next prime is 221434311337. The reversal of 221434311324 is 423113434122.

221434311324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221434311291 and 221434311300.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 91349577 + ... + 91352000.

It is an arithmetic number, because the mean of its divisors is an integer number (21741487782).

Almost surely, 2^221434311324 is an apocalyptic number.

It is an amenable number.

221434311324 is an abundant number, since it is smaller than the sum of its proper divisors (300361395444).

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

221434311324 is a wasteful number, since it uses less digits than its factorization.

221434311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182701685 (or 182701683 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 221434311324 its reverse (423113434122), we get a palindrome (644547745446).

The spelling of 221434311324 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred eleven thousand, three hundred twenty-four".