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163306164 = 223723181467
BaseRepresentation
bin10011011101111…
…01101010110100
3102101021210221110
421232331222310
5313301244124
624112115020
74022036160
oct1156755264
9371253843
10163306164
118420037a
1246835a70
1327aaa588
141798dca0
15e50c029
hex9bbdab4

163306164 has 96 divisors (see below), whose sum is σ = 457906176. Its totient is φ = 44288640.

The previous prime is 163306151. The next prime is 163306201. The reversal of 163306164 is 461603361.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 349459 + ... + 349925.

It is an arithmetic number, because the mean of its divisors is an integer number (4769856).

Almost surely, 2163306164 is an apocalyptic number.

163306164 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 163306164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

163306164 is an abundant number, since it is smaller than the sum of its proper divisors (294600012).

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

163306164 is a wasteful number, since it uses less digits than its factorization.

163306164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 163306164 is about 12779.1300173369. The cubic root of 163306164 is about 546.5973550500.

The spelling of 163306164 in words is "one hundred sixty-three million, three hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 181 276 322 362 467 483 543 644 724 934 966 1086 1267 1401 1868 1932 2172 2534 2802 3269 3801 4163 5068 5604 6538 7602 8326 9807 10741 12489 13076 15204 16652 19614 21482 24978 29141 32223 39228 42964 49956 58282 64446 75187 84527 87423 116564 128892 150374 169054 174846 225561 253581 300748 338108 349692 451122 507162 591689 902244 1014324 1183378 1775067 1944121 2366756 3550134 3888242 5832363 7100268 7776484 11664726 13608847 23329452 27217694 40826541 54435388 81653082 163306164