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23205468436 = 2219216070269
BaseRepresentation
bin10101100111001001…
…110101100100010100
32012220020011221021221
4111213021311210110
5340011044442221
614354353420124
71451024140633
oct254711654424
965806157257
1023205468436
119928977997
1245b756a644
13225a80c517
1411a1cd551a
1590c399541
hex567275914

23205468436 has 18 divisors (see below), whose sum is σ = 42859410090. Its totient is φ = 10992063312.

The previous prime is 23205468427. The next prime is 23205468439. The reversal of 23205468436 is 63486450232.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22132512900 + 1072955536 = 148770^2 + 32756^2 .

It is a super-3 number, since 3×232054684363 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23205468392 and 23205468401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205468439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8033691 + ... + 8036578.

Almost surely, 223205468436 is an apocalyptic number.

It is an amenable number.

23205468436 is a deficient number, since it is larger than the sum of its proper divisors (19653941654).

23205468436 is a wasteful number, since it uses less digits than its factorization.

23205468436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070311 (or 16070290 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 23205468436 in words is "twenty-three billion, two hundred five million, four hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 19 38 76 361 722 1444 16070269 32140538 64281076 305335111 610670222 1221340444 5801367109 11602734218 23205468436