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218196 = 2232111929
BaseRepresentation
bin110101010001010100
3102002022100
4311101110
523440241
64402100
71566066
oct652124
9362270
10218196
11139a30
12a6330
1378414
1459736
15449b6
hex35454

218196 has 72 divisors (see below), whose sum is σ = 655200. Its totient is φ = 60480.

The previous prime is 218191. The next prime is 218213. The reversal of 218196 is 691812.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218191) by changing a digit.

218196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7510 + ... + 7538.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2218196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

218196 is an abundant number, since it is smaller than the sum of its proper divisors (437004).

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

218196 is a wasteful number, since it uses less digits than its factorization.

218196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 218196 is about 467.1145469796. The cubic root of 218196 is about 60.2026481251.

It can be divided in two parts, 218 and 196, that added together give a palindrome (414).

The spelling of 218196 in words is "two hundred eighteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 29 33 36 38 44 57 58 66 76 87 99 114 116 132 171 174 198 209 228 261 319 342 348 396 418 522 551 627 638 684 836 957 1044 1102 1254 1276 1653 1881 1914 2204 2508 2871 3306 3762 3828 4959 5742 6061 6612 7524 9918 11484 12122 18183 19836 24244 36366 54549 72732 109098 218196