Search a number
-
+
218260133 = 71323104281
BaseRepresentation
bin11010000001001…
…10001010100101
3120012200202121122
431000212022211
5421333311013
633354023325
75260115630
oct1500461245
9505622548
10218260133
11102225083
1261117b45
13362ab810
1420db6c17
1514264a08
hexd0262a5

218260133 has 16 divisors (see below), whose sum is σ = 280310016. Its totient is φ = 165179520.

The previous prime is 218260123. The next prime is 218260169. The reversal of 218260133 is 331062812.

It is a cyclic number.

It is not a de Polignac number, because 218260133 - 26 = 218260069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218260123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50048 + ... + 54233.

It is an arithmetic number, because the mean of its divisors is an integer number (17519376).

Almost surely, 2218260133 is an apocalyptic number.

218260133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

218260133 is a deficient number, since it is larger than the sum of its proper divisors (62049883).

218260133 is a wasteful number, since it uses less digits than its factorization.

218260133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104324.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 218260133 is about 14773.6296488033. The cubic root of 218260133 is about 602.0854587788.

The spelling of 218260133 in words is "two hundred eighteen million, two hundred sixty thousand, one hundred thirty-three".

Divisors: 1 7 13 23 91 161 299 2093 104281 729967 1355653 2398463 9489571 16789241 31180019 218260133