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198198 = 232711213
BaseRepresentation
bin110000011000110110
3101001212200
4300120312
522320243
64125330
71453560
oct603066
9331780
10198198
11125a00
1296846
136c2a0
1452330
153dad3
hex30636

198198 has 72 divisors (see below), whose sum is σ = 580944. Its totient is φ = 47520.

The previous prime is 198197. The next prime is 198221. The reversal of 198198 is 891891.

198198 is nontrivially palindromic in base 15.

Its product of digits (5184) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15240 + ... + 15252.

2198198 is an apocalyptic number.

198198 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 198198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290472).

198198 is an abundant number, since it is smaller than the sum of its proper divisors (382746).

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

198198 is a wasteful number, since it uses less digits than its factorization.

198198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 198198 is about 445.1943395867. The cubic root of 198198 is about 58.3041886156.

The spelling of 198198 in words is "one hundred ninety-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 33033 66066 99099 198198