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164202324 = 223112138699
BaseRepresentation
bin10011100100110…
…00011101010100
3102102222100020120
421302120131110
5314013433244
624143231540
74032460656
oct1162303524
9372870216
10164202324
1184762700
1246ba85b0
1328032450
1417b446d6
15e637819
hex9c98754

164202324 has 72 divisors (see below), whose sum is σ = 453583200. Its totient is φ = 45925440.

The previous prime is 164202317. The next prime is 164202341. The reversal of 164202324 is 423202461.

It is a junction number, because it is equal to n+sod(n) for n = 164202294 and 164202303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14527 + ... + 23225.

Almost surely, 2164202324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164202324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226791600).

164202324 is an abundant number, since it is smaller than the sum of its proper divisors (289380876).

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

164202324 is a wasteful number, since it uses less digits than its factorization.

164202324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 164202324 is about 12814.1454650710. The cubic root of 164202324 is about 547.5953688041.

Adding to 164202324 its reverse (423202461), we get a palindrome (587404785).

The spelling of 164202324 in words is "one hundred sixty-four million, two hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 8699 9438 17398 18876 26097 34796 52194 95689 104388 113087 191378 226174 287067 339261 382756 452348 574134 678522 1052579 1148268 1243957 1357044 2105158 2487914 3157737 3731871 4210316 4975828 6315474 7463742 12630948 13683527 14927484 27367054 41050581 54734108 82101162 164202324