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218130849 = 32193141149
BaseRepresentation
bin11010000000001…
…10100110100001
3120012110012021100
431000012212201
5421320141344
633351145013
75256036666
oct1500064641
9505405240
10218130849
11102146a32
1261075169
1336264a11
1420d81a6d
151423b569
hexd0069a1

218130849 has 24 divisors (see below), whose sum is σ = 342368000. Its totient is φ = 133319520.

The previous prime is 218130841. The next prime is 218130853. The reversal of 218130849 is 948031812.

It is not a de Polignac number, because 218130849 - 23 = 218130841 is a prime.

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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218130841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15274 + ... + 25875.

Almost surely, 2218130849 is an apocalyptic number.

It is an amenable number.

218130849 is a deficient number, since it is larger than the sum of its proper divisors (124237151).

218130849 is a wasteful number, since it uses less digits than its factorization.

218130849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41205 (or 41202 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 218130849 is about 14769.2535017854. The cubic root of 218130849 is about 601.9665557223.

The spelling of 218130849 in words is "two hundred eighteen million, one hundred thirty thousand, eight hundred forty-nine".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 5301 41149 123447 370341 781831 1275619 2345493 3826857 7036479 11480571 24236761 72710283 218130849