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22314052431 = 3211474795627
BaseRepresentation
bin10100110010000001…
…010110101101001111
32010121002211022102100
4110302001112231033
5331144344134211
614130111330143
71416651213306
oct246201265517
963532738370
1022314052431
119510778950
1243a8b20953
132147c30028
14111977143d
158a8eb6156
hex532056b4f

22314052431 has 24 divisors (see below), whose sum is σ = 35909662464. Its totient is φ = 13235927760.

The previous prime is 22314052391. The next prime is 22314052477. The reversal of 22314052431 is 13425041322.

22314052431 is a `hidden beast` number, since 2 + 231 + 405 + 24 + 3 + 1 = 666.

It is not a de Polignac number, because 22314052431 - 26 = 22314052367 is a prime.

It is a super-3 number, since 3×223140524313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22314052395 and 22314052404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314052231) 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 23 ways as a sum of consecutive naturals, for example, 2393161 + ... + 2402466.

It is an arithmetic number, because the mean of its divisors is an integer number (1496235936).

Almost surely, 222314052431 is an apocalyptic number.

22314052431 is a deficient number, since it is larger than the sum of its proper divisors (13595610033).

22314052431 is a wasteful number, since it uses less digits than its factorization.

22314052431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795691 (or 4795688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22314052431 its reverse (13425041322), we get a palindrome (35739093753).

The spelling of 22314052431 in words is "twenty-two billion, three hundred fourteen million, fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 4795627 14386881 43160643 52751897 158255691 225394469 474767073 676183407 2028550221 2479339159 7438017477 22314052431