Search a number
-
+
218206268 = 2277793081
BaseRepresentation
bin11010000000110…
…01000000111100
3120012121000201122
431000121000330
5421330100033
633352530112
75256502610
oct1500310074
9505530648
10218206268
11102198665
12610b0938
1336290147
1420da1340
1514253a98
hexd01903c

218206268 has 12 divisors (see below), whose sum is σ = 436412592. Its totient is φ = 93516960.

The previous prime is 218206259. The next prime is 218206273. The reversal of 218206268 is 862602812.

218206268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

218206268 is an admirable number.

It is a super-2 number, since 2×2182062682 = 95227950788975648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3896513 + ... + 3896568.

It is an arithmetic number, because the mean of its divisors is an integer number (36367716).

Almost surely, 2218206268 is an apocalyptic number.

218206268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218206268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

218206268 is a wasteful number, since it uses less digits than its factorization.

218206268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793092 (or 7793090 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 218206268 is about 14771.8065245927. The cubic root of 218206268 is about 602.0359246119.

The spelling of 218206268 in words is "two hundred eighteen million, two hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 7793081 15586162 31172324 54551567 109103134 218206268