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198018 = 23319193
BaseRepresentation
bin110000010110000010
3101001122000
4300112002
522314033
64124430
71453212
oct602602
9331560
10198018
11125857
1296716
136c192
1452242
153da13
hex30582

198018 has 32 divisors (see below), whose sum is σ = 465600. Its totient is φ = 62208.

The previous prime is 198017. The next prime is 198031. The reversal of 198018 is 810891.

It is a super-2 number, since 2×1980182 = 78422256648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 197982 and 198000.

It is not an unprimeable number, because it can be changed into a prime (198013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (14550).

2198018 is an apocalyptic number.

198018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232800).

198018 is an abundant number, since it is smaller than the sum of its proper divisors (267582).

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

198018 is a wasteful number, since it uses less digits than its factorization.

198018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 198018 is about 444.9921347620. The cubic root of 198018 is about 58.2865329841.

The spelling of 198018 in words is "one hundred ninety-eight thousand, eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 193 342 386 513 579 1026 1158 1737 3474 3667 5211 7334 10422 11001 22002 33003 66006 99009 198018