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164812284 = 223272137187
BaseRepresentation
bin10011101001011…
…01010111111100
3102111010022221200
421310231113330
5314142443114
624204255500
74040611200
oct1164552774
9374108850
10164812284
11850399aa
1247241590
13281b6c80
1417c62b00
15e708409
hex9d2d5fc

164812284 has 108 divisors (see below), whose sum is σ = 521978184. Its totient is φ = 43460928.

The previous prime is 164812283. The next prime is 164812303. The reversal of 164812284 is 482218461.

164812284 is a `hidden beast` number, since 1 + 648 + 1 + 2 + 2 + 8 + 4 = 666.

164812284 is digitally balanced in base 3, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164812283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19339 + ... + 26525.

Almost surely, 2164812284 is an apocalyptic number.

164812284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164812284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260989092).

164812284 is an abundant number, since it is smaller than the sum of its proper divisors (357165900).

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

164812284 is a wasteful number, since it uses less digits than its factorization.

164812284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 7212 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 164812284 is about 12837.9236638952. The cubic root of 164812284 is about 548.2725791548.

The spelling of 164812284 in words is "one hundred sixty-four million, eight hundred twelve thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7187 7644 11466 14374 21561 22932 28748 43122 50309 64683 86244 93431 100618 129366 150927 186862 201236 258732 280293 301854 352163 373724 452781 560586 603708 654017 704326 840879 905562 1056489 1121172 1308034 1408652 1681758 1811124 1962051 2112978 2616068 3169467 3363516 3924102 4225956 4578119 5886153 6338934 7848204 9156238 11772306 12677868 13734357 18312476 23544612 27468714 41203071 54937428 82406142 164812284