223221340413 has 12 divisors (see below), whose sum is σ = 326847686620. Its totient is φ = 146775675456.

The previous prime is 223221340379. The next prime is 223221340421. The reversal of 223221340413 is 314043122322.

223221340413 is a `hidden beast` number, since 2 + 2 + 32 + 213 + 4 + 0 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124385298489 + 98836041924 = 352683^2 + 314382^2 .

It is not a de Polignac number, because 223221340413 - 2¹⁰ = 223221339389 is a prime.

It is a super-3 number, since 3×223221340413³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221340423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 169878598 + ... + 169879911.

Almost surely, 2^223221340413 is an apocalyptic number.

It is an amenable number.

223221340413 is a deficient number, since it is larger than the sum of its proper divisors (103626346207).

223221340413 is a wasteful number, since it uses less digits than its factorization.

223221340413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339758588 (or 339758585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223221340413 its reverse (314043122322), we get a palindrome (537264462735).

The spelling of 223221340413 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred forty thousand, four hundred thirteen".