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814195206 = 2331123532
BaseRepresentation
bin110000100001111…
…010001000000110
32002202001101212000
4300201322020012
53131413221311
6212443010130
726114354646
oct6041721006
92082041760
10814195206
11388656a00
121a8809946
13cc8b3116
147a1c2526
154b72d056
hex3087a206

814195206 has 72 divisors (see below), whose sum is σ = 1994409480. Its totient is φ = 246026880.

The previous prime is 814195199. The next prime is 814195211. The reversal of 814195206 is 602591418.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2306326 + ... + 2306678.

Almost surely, 2814195206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814195206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997204740).

814195206 is an abundant number, since it is smaller than the sum of its proper divisors (1180214274).

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

814195206 is a wasteful number, since it uses less digits than its factorization.

814195206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 814195206 is about 28534.1060136812. The cubic root of 814195206 is about 933.7762999641.

The spelling of 814195206 in words is "eight hundred fourteen million, one hundred ninety-five thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 353 363 594 706 726 1059 1089 2118 2178 3177 3267 3883 6354 6534 7766 9531 11649 19062 23298 34947 42713 69894 85426 104841 124609 128139 209682 249218 256278 373827 384417 747654 768834 1121481 1153251 1370699 2242962 2306502 2741398 3364443 4112097 6728886 8224194 12336291 15077689 24672582 30155378 37008873 45233067 74017746 90466134 135699201 271398402 407097603 814195206