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12198429 = 328997157
BaseRepresentation
bin101110100010…
…001000011101
3211221202002200
4232202020131
511110322204
61113242113
7205453635
oct56421035
924852080
1012198429
116981951
124103339
1326b1409
1418976c5
15110e539
hexba221d

12198429 has 24 divisors (see below), whose sum is σ = 18116280. Its totient is φ = 7907328.

The previous prime is 12198421. The next prime is 12198467. The reversal of 12198429 is 92489121.

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 12089529 = 330^2 + 3477^2 .

It is not a de Polignac number, because 12198429 - 23 = 12198421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12198393 and 12198402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12198421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77619 + ... + 77775.

It is an arithmetic number, because the mean of its divisors is an integer number (754845).

Almost surely, 212198429 is an apocalyptic number.

It is an amenable number.

12198429 is a deficient number, since it is larger than the sum of its proper divisors (5917851).

12198429 is a wasteful number, since it uses less digits than its factorization.

12198429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12198429 is about 3492.6249440786. The cubic root of 12198429 is about 230.1978700503.

The spelling of 12198429 in words is "twelve million, one hundred ninety-eight thousand, four hundred twenty-nine".

Divisors: 1 3 9 89 97 157 267 291 471 801 873 1413 8633 13973 15229 25899 41919 45687 77697 125757 137061 1355381 4066143 12198429