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22313223231 = 31317223150919
BaseRepresentation
bin10100110001111110…
…001100010000111111
32010121001021011222020
4110301332030100333
5331144141120411
614130041451223
71416641160645
oct246176142077
963531234866
1022313223231
119510261962
1243a87a0b13
1321479cc790
1411195d7195
158a8da0606
hex531f8c43f

22313223231 has 32 divisors (see below), whose sum is σ = 34076528640. Its totient is φ = 12865457664.

The previous prime is 22313223221. The next prime is 22313223271. The reversal of 22313223231 is 13232231322.

It is not a de Polignac number, because 22313223231 - 25 = 22313223199 is a prime.

It is a super-3 number, since 3×223132232313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313223221) 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 31 ways as a sum of consecutive naturals, for example, 72390 + ... + 223308.

It is an arithmetic number, because the mean of its divisors is an integer number (1064891520).

Almost surely, 222313223231 is an apocalyptic number.

22313223231 is a deficient number, since it is larger than the sum of its proper divisors (11763305409).

22313223231 is a wasteful number, since it uses less digits than its factorization.

22313223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151175.

The product of its digits is 2592, while the sum is 24.

Adding to 22313223231 its reverse (13232231322), we get a palindrome (35545454553).

The spelling of 22313223231 in words is "twenty-two billion, three hundred thirteen million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 13 17 39 51 221 223 663 669 2899 3791 8697 11373 49283 147849 150919 452757 1961947 2565623 5885841 7696869 33353099 33654937 100059297 100964811 437514181 572133929 1312542543 1716401787 7437741077 22313223231