Search a number
-
+
218172168 = 23325357173
BaseRepresentation
bin11010000000100…
…00101100001000
3120012112021221200
431000100230020
5421323002133
633352104200
75256301314
oct1500205410
9505467850
10218172168
11102174a85
1261095060
133627a776
1420d92b44
1514248913
hexd010b08

218172168 has 48 divisors (see below), whose sum is σ = 602042220. Its totient is φ = 71350656.

The previous prime is 218172139. The next prime is 218172179. The reversal of 218172168 is 861271812.

It can be written as a sum of positive squares in 2 ways, for example, as 183385764 + 34786404 = 13542^2 + 5898^2 .

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).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24771 + ... + 32402.

Almost surely, 2218172168 is an apocalyptic number.

It is an amenable number.

218172168 is an abundant number, since it is smaller than the sum of its proper divisors (383870052).

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

218172168 is a wasteful number, since it uses less digits than its factorization.

218172168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57238 (or 57231 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 218172168 is about 14770.6522537090. The cubic root of 218172168 is about 602.0045620931.

The spelling of 218172168 in words is "two hundred eighteen million, one hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 57173 114346 171519 228692 343038 457384 514557 686076 1029114 1372152 2058228 3030169 4116456 6060338 9090507 12120676 18181014 24241352 27271521 36362028 54543042 72724056 109086084 218172168