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23220442431 = 3219349389089
BaseRepresentation
bin10101101000000010…
…111101010100111111
32012221021100200202100
4111220002331110333
5340023413124211
614400050400143
71451265334614
oct255002752477
965837320670
1023220442431
11993637509a
124600590053
132260953084
1411a3cb250b
1590d856156
hex5680bd53f

23220442431 has 24 divisors (see below), whose sum is σ = 35407190000. Its totient is φ = 14623483392.

The previous prime is 23220442411. The next prime is 23220442463. The reversal of 23220442431 is 13424402232.

23220442431 is a `hidden beast` number, since 2 + 3 + 2 + 204 + 424 + 31 = 666.

It is not a de Polignac number, because 23220442431 - 26 = 23220442367 is a prime.

It is a super-2 number, since 2×232204424312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23220442395 and 23220442404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220442411) 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 23 ways as a sum of consecutive naturals, for example, 134866 + ... + 254223.

Almost surely, 223220442431 is an apocalyptic number.

23220442431 is a deficient number, since it is larger than the sum of its proper divisors (12186747569).

23220442431 is a wasteful number, since it uses less digits than its factorization.

23220442431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389463 (or 389460 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23220442431 its reverse (13424402232), we get a palindrome (36644844663).

The spelling of 23220442431 in words is "twenty-three billion, two hundred twenty million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 171 349 1047 3141 6631 19893 59679 389089 1167267 3501801 7392691 22178073 66534219 135792061 407376183 1222128549 2580049159 7740147477 23220442431