Search a number
-
+
218017268 = 22721112333
BaseRepresentation
bin11001111111010…
…10110111110100
3120012020102110122
430333222313310
5421303023033
633344511112
75255054600
oct1477526764
9505212418
10218017268
11102079667
126101b498
1336225101
1420d52500
1514217a98
hexcfeadf4

218017268 has 18 divisors (see below), whose sum is σ = 443821266. Its totient is φ = 93435888.

The previous prime is 218017259. The next prime is 218017291. The reversal of 218017268 is 862710812.

218017268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 212809744 + 5207524 = 14588^2 + 2282^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555971 + ... + 556362.

It is an arithmetic number, because the mean of its divisors is an integer number (24656737).

Almost surely, 2218017268 is an apocalyptic number.

218017268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218017268 is an abundant number, since it is smaller than the sum of its proper divisors (225803998).

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

218017268 is a wasteful number, since it uses less digits than its factorization.

218017268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112351 (or 1112342 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 218017268 is about 14765.4078169213. The cubic root of 218017268 is about 601.8620560085.

The spelling of 218017268 in words is "two hundred eighteen million, seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 1112333 2224666 4449332 7786331 15572662 31145324 54504317 109008634 218017268