Search a number
-
+
166218156 = 223413193167
BaseRepresentation
bin10011110100001…
…00100110101100
3102120202202110000
421322010212230
5320022440111
624254344300
74055555016
oct1172044654
9376682400
10166218156
118590a185
12477bb090
1328589b50
141810b1b6
15e8d4c56
hex9e849ac

166218156 has 240 divisors, whose sum is σ = 516060160. Its totient is φ = 46189440.

The previous prime is 166218149. The next prime is 166218161. The reversal of 166218156 is 651812661.

166218156 is a `hidden beast` number, since 16 + 621 + 8 + 15 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (17280) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 166218156.

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 79 ways as a sum of consecutive naturals, for example, 2480835 + ... + 2480901.

Almost surely, 2166218156 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 166218156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258030080).

166218156 is an abundant number, since it is smaller than the sum of its proper divisors (349842004).

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

166218156 is a wasteful number, since it uses less digits than its factorization.

166218156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 166218156 is about 12892.5620417355. The cubic root of 166218156 is about 549.8271148075.

The spelling of 166218156 in words is "one hundred sixty-six million, two hundred eighteen thousand, one hundred fifty-six".