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164115234 = 23429181193
BaseRepresentation
bin10011100100000…
…11001100100010
3102102210220210000
421302003030202
5314003141414
624141320430
74031646033
oct1162031442
9372726700
10164115234
1184703228
1246b66116
132800190a
1417b20a8a
15e61bb09
hex9c83322

164115234 has 80 divisors (see below), whose sum is σ = 384504120. Its totient is φ = 52254720.

The previous prime is 164115223. The next prime is 164115241. The reversal of 164115234 is 432511461.

It is a happy number.

164115234 is a `hidden beast` number, since 1 + 641 + 15 + 2 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70509609 + 93605625 = 8397^2 + 9675^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164115198 and 164115207.

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 39 ways as a sum of consecutive naturals, for example, 850242 + ... + 850434.

Almost surely, 2164115234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164115234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192252060).

164115234 is an abundant number, since it is smaller than the sum of its proper divisors (220388886).

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

164115234 is a wasteful number, since it uses less digits than its factorization.

164115234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164115234 is about 12810.7468166380. The cubic root of 164115234 is about 547.4985400599.

Adding to 164115234 its reverse (432511461), we get a palindrome (596626695).

The spelling of 164115234 in words is "one hundred sixty-four million, one hundred fifteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 181 193 261 362 386 522 543 579 783 1086 1158 1566 1629 1737 2349 3258 3474 4698 4887 5211 5249 5597 9774 10422 10498 11194 14661 15633 15747 16791 29322 31266 31494 33582 34933 47241 50373 69866 94482 100746 104799 141723 151119 209598 283446 302238 314397 425169 453357 628794 850338 906714 943191 1013057 1886382 2026114 2829573 3039171 5659146 6078342 9117513 18235026 27352539 54705078 82057617 164115234