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164213166 = 231317592099
BaseRepresentation
bin10011100100110…
…11000110101110
3102102222220010010
421302123012232
5314014310131
624143354050
74032534405
oct1162330656
9372886103
10164213166
118476a867
1246bb2926
1328037370
1417b4863c
15e63ab46
hex9c9b1ae

164213166 has 64 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 46726656.

The previous prime is 164213117. The next prime is 164213191. The reversal of 164213166 is 661312461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77185 + ... + 79283.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2164213166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164213166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

164213166 is an abundant number, since it is smaller than the sum of its proper divisors (216810834).

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

164213166 is a wasteful number, since it uses less digits than its factorization.

164213166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193.

The product of its digits is 5184, while the sum is 30.

The square root of 164213166 is about 12814.5685061964. The cubic root of 164213166 is about 547.6074208023.

The spelling of 164213166 in words is "one hundred sixty-four million, two hundred thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 59 78 102 118 177 221 354 442 663 767 1003 1326 1534 2006 2099 2301 3009 4198 4602 6018 6297 12594 13039 26078 27287 35683 39117 54574 71366 78234 81861 107049 123841 163722 214098 247682 371523 463879 743046 927758 1391637 1609933 2105297 2783274 3219866 4210594 4829799 6315891 9659598 12631782 27368861 54737722 82106583 164213166