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164542266 = 2347413539
BaseRepresentation
bin10011100111010…
…11011100111010
3102110121121120000
421303223130322
5314110323031
624154413430
74035405030
oct1163533472
9373547500
10164542266
1184975049
1247131276
13281210b5
1417bd2550
15e6a33e6
hex9ceb73a

164542266 has 80 divisors (see below), whose sum is σ = 431766720. Its totient is φ = 45852480.

The previous prime is 164542249. The next prime is 164542267. The reversal of 164542266 is 662245461.

164542266 is a `hidden beast` number, since 1 + 645 + 4 + 2 + 2 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164542266.

It is not an unprimeable number, because it can be changed into a prime (164542267) 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 39 ways as a sum of consecutive naturals, for example, 44725 + ... + 48263.

It is an arithmetic number, because the mean of its divisors is an integer number (5397084).

Almost surely, 2164542266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164542266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215883360).

164542266 is an abundant number, since it is smaller than the sum of its proper divisors (267224454).

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

164542266 is a wasteful number, since it uses less digits than its factorization.

164542266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3592 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164542266 is about 12827.4029327842. The cubic root of 164542266 is about 547.9729971421.

The spelling of 164542266 in words is "one hundred sixty-four million, five hundred forty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 123 126 162 189 246 287 369 378 567 574 738 861 1107 1134 1722 2214 2583 3321 3539 5166 6642 7078 7749 10617 15498 21234 23247 24773 31851 46494 49546 63702 74319 95553 145099 148638 191106 222957 286659 290198 435297 445914 573318 668871 870594 1015693 1305891 1337742 2006613 2031386 2611782 3047079 3917673 4013226 6094158 7835346 9141237 11753019 18282474 23506038 27423711 54847422 82271133 164542266