Search a number
-
+
166242168 = 23322308919
BaseRepresentation
bin10011110100010…
…10011101111000
3102120210222101100
421322022131320
5320024222133
624255051400
74056015021
oct1172123570
9376728340
10166242168
1185926224
1247810b60
1328597a61
1418115c48
15e8dbe13
hex9e8a778

166242168 has 24 divisors (see below), whose sum is σ = 450239400. Its totient is φ = 55414032.

The previous prime is 166242163. The next prime is 166242179. The reversal of 166242168 is 861242661.

166242168 is a `hidden beast` number, since 1 + 6 + 624 + 21 + 6 + 8 = 666.

166242168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166242163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1154388 + ... + 1154531.

It is an arithmetic number, because the mean of its divisors is an integer number (18759975).

Almost surely, 2166242168 is an apocalyptic number.

166242168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166242168 is an abundant number, since it is smaller than the sum of its proper divisors (283997232).

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

166242168 is a wasteful number, since it uses less digits than its factorization.

166242168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308931 (or 2308924 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 166242168 is about 12893.4932427174. The cubic root of 166242168 is about 549.8535896791.

The spelling of 166242168 in words is "one hundred sixty-six million, two hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2308919 4617838 6926757 9235676 13853514 18471352 20780271 27707028 41560542 55414056 83121084 166242168