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23198013 = 3217316773
BaseRepresentation
bin101100001111…
…1100100111101
31121122120200200
41120133210331
521414314023
62145114113
7401115456
oct130374475
947576620
1023198013
1112105013
127928939
134a62c47
14311c12d
152083743
hex161f93d

23198013 has 48 divisors (see below), whose sum is σ = 37679616. Its totient is φ = 13685760.

The previous prime is 23198009. The next prime is 23198023. The reversal of 23198013 is 31089132.

It is not a de Polignac number, because 23198013 - 22 = 23198009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23198023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317745 + ... + 317817.

It is an arithmetic number, because the mean of its divisors is an integer number (784992).

Almost surely, 223198013 is an apocalyptic number.

It is an amenable number.

23198013 is a deficient number, since it is larger than the sum of its proper divisors (14481603).

23198013 is a wasteful number, since it uses less digits than its factorization.

23198013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 23198013 is about 4816.4315628897. The cubic root of 23198013 is about 285.2004868175.

The spelling of 23198013 in words is "twenty-three million, one hundred ninety-eight thousand, thirteen".

Divisors: 1 3 9 17 31 51 67 73 93 153 201 219 279 527 603 657 1139 1241 1581 2077 2263 3417 3723 4743 4891 6231 6789 10251 11169 14673 18693 20367 35309 38471 44019 83147 105927 115413 151621 249441 317781 346239 454863 748323 1364589 2577557 7732671 23198013