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185342304196 = 22742321912
BaseRepresentation
bin1010110010011101000…
…0110001111111000100
3122201101211020120220001
42230213100301333010
511014040112213241
6221051200451044
716250645410000
oct2544720617704
9581354216801
10185342304196
117166a998415
122bb06919a84
13146296934aa
148d83523700
154c4b728431
hex2b27431fc4

185342304196 has 135 divisors (see below), whose sum is σ = 397633273583. Its totient is φ = 75581037840.

The previous prime is 185342304157. The next prime is 185342304197. The reversal of 185342304196 is 691403243581.

It is a happy number.

The square root of 185342304196 is 430514.

It is a perfect power (a square), and thus also a powerful number.

185342304196 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (185342304197) 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 44 ways as a sum of consecutive naturals, for example, 970378461 + ... + 970378651.

Almost surely, 2185342304196 is an apocalyptic number.

185342304196 is the 430514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185342304196

185342304196 is an abundant number, since it is smaller than the sum of its proper divisors (212290969387).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

185342304196 is an frugal number, since it uses more digits than its factorization.

185342304196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 185342304196 in words is "one hundred eighty-five billion, three hundred forty-two million, three hundred four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 191 196 322 343 382 529 644 686 764 1058 1127 1337 1372 2116 2254 2401 2674 3703 4393 4508 4802 5348 7406 7889 8786 9359 9604 14812 15778 17572 18718 25921 30751 31556 36481 37436 51842 55223 61502 65513 72962 101039 103684 110446 123004 131026 145924 181447 202078 215257 220892 255367 262052 362894 404156 430514 458591 510734 707273 725788 839063 861028 917182 1021468 1270129 1414546 1506799 1678126 1787569 1834364 2540258 2829092 3013598 3356252 3575138 4950911 5080516 5873441 6027196 7150276 9901822 10547593 11746882 12512983 19298449 19803644 21095186 23493764 25025966 34656377 38596898 41114087 42190372 50051932 69312754 77193796 82228174 87590881 135089143 138625508 164456348 175181762 242594639 270178286 287798609 350363524 485189278 540356572 575597218 945624001 970378556 1151194436 1891248002 2014590263 3782496004 4029180526 6619368007 8058361052 13238736014 26477472028 46335576049 92671152098 185342304196