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218890331 = 11210117911
BaseRepresentation
bin11010000110000…
…00000001011011
3120020212210002022
431003000001123
5422013442311
633415325055
75265352142
oct1503000133
9506783068
10218890331
11102615600
126138078b
133646c60a
14210dc759
151433b5db
hexd0c005b

218890331 has 12 divisors (see below), whose sum is σ = 242994192. Its totient is φ = 197010000.

The previous prime is 218890307. The next prime is 218890363. The reversal of 218890331 is 133098812.

It is not a de Polignac number, because 218890331 - 214 = 218873947 is a prime.

It is a super-2 number, since 2×2188903312 = 95825954010579122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218890291 and 218890300.

It is not an unprimeable number, because it can be changed into a prime (218890391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3266 + ... + 21176.

It is an arithmetic number, because the mean of its divisors is an integer number (20249516).

Almost surely, 2218890331 is an apocalyptic number.

218890331 is a deficient number, since it is larger than the sum of its proper divisors (24103861).

218890331 is a wasteful number, since it uses less digits than its factorization.

218890331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18034 (or 18023 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 218890331 is about 14794.9427508186. The cubic root of 218890331 is about 602.6643833300.

The spelling of 218890331 in words is "two hundred eighteen million, eight hundred ninety thousand, three hundred thirty-one".

Divisors: 1 11 101 121 1111 12221 17911 197021 1809011 2167231 19899121 218890331