Search a number
-
+
166343166 = 23311972887
BaseRepresentation
bin10011110101000…
…11000111111110
3102121000002221000
421322203013332
5320040440131
624301151130
74056615333
oct1172430776
9377002830
10166343166
11859950a0
124785b4a6
1328601a12
141814098a
15e90bce6
hex9ea31fe

166343166 has 64 divisors (see below), whose sum is σ = 407554560. Its totient is φ = 49870080.

The previous prime is 166343161. The next prime is 166343171. The reversal of 166343166 is 661343661.

166343166 is a `hidden beast` number, since 1 + 6 + 634 + 3 + 16 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166343161) and next prime (166343171).

It is a self number, because there is not a number n which added to its sum of digits gives 166343166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166343161) 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 31 ways as a sum of consecutive naturals, for example, 56175 + ... + 59061.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2166343166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166343166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203777280).

166343166 is an abundant number, since it is smaller than the sum of its proper divisors (241211394).

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

166343166 is a wasteful number, since it uses less digits than its factorization.

166343166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 166343166 is about 12897.4092747342. The cubic root of 166343166 is about 549.9649189746.

The spelling of 166343166 in words is "one hundred sixty-six million, three hundred forty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 582 594 873 1067 1746 2134 2619 2887 3201 5238 5774 6402 8661 9603 17322 19206 25983 28809 31757 51966 57618 63514 77949 95271 155898 190542 280039 285813 560078 571626 840117 857439 1680234 1714878 2520351 3080429 5040702 6160858 7561053 9241287 15122106 18482574 27723861 55447722 83171583 166343166