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18008219 = 1719127439
BaseRepresentation
bin100010010110…
…0100010011011
31020212220122002
41010230202123
514102230334
61441551215
7306032045
oct104544233
936786562
1018008219
11a18a929
12604550b
133966968
14256aa95
1518aab7e
hex112c89b

18008219 has 16 divisors (see below), whose sum is σ = 20275200. Its totient is φ = 15894144.

The previous prime is 18008213. The next prime is 18008231. The reversal of 18008219 is 91280081.

It is a cyclic number.

It is not a de Polignac number, because 18008219 - 28 = 18007963 is a prime.

It is a super-2 number, since 2×180082192 = 648591903103922, 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 = 18008191 and 18008200.

It is not an unprimeable number, because it can be changed into a prime (18008213) 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, 40802 + ... + 41240.

It is an arithmetic number, because the mean of its divisors is an integer number (1267200).

Almost surely, 218008219 is an apocalyptic number.

18008219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

18008219 is a deficient number, since it is larger than the sum of its proper divisors (2266981).

18008219 is a wasteful number, since it uses less digits than its factorization.

18008219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 18008219 is about 4243.6091950131. The cubic root of 18008219 is about 262.1140220059.

The spelling of 18008219 in words is "eighteen million, eight thousand, two hundred nineteen".

Divisors: 1 17 19 127 323 439 2159 2413 7463 8341 41021 55753 141797 947801 1059307 18008219