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204204 = 2237111317
BaseRepresentation
bin110001110110101100
3101101010010
4301312230
523013304
64213220
71510230
oct616654
9341103
10204204
1112a470
129a210
1371c40
14545c0
1540789
hex31dac

204204 has 96 divisors (see below), whose sum is σ = 677376. Its totient is φ = 46080.

The previous prime is 204173. The next prime is 204233. The reversal of 204204 is 402402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 204204.

It is a congruent number.

It is an unprimeable number.

204204 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 31 ways as a sum of consecutive naturals, for example, 12004 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2204204 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 204204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

204204 is an abundant number, since it is smaller than the sum of its proper divisors (473172).

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

204204 is a wasteful number, since it uses less digits than its factorization.

204204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 204204 is about 451.8893669915. The cubic root of 204204 is about 58.8872691827.

Adding to 204204 its reverse (402402), we get a palindrome (606606).

It can be divided in two parts, 20 and 4204, that added together give a palindrome (4224).

The spelling of 204204 in words is "two hundred four thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 11 12 13 14 17 21 22 26 28 33 34 39 42 44 51 52 66 68 77 78 84 91 102 119 132 143 154 156 182 187 204 221 231 238 273 286 308 357 364 374 429 442 462 476 546 561 572 663 714 748 858 884 924 1001 1092 1122 1309 1326 1428 1547 1716 2002 2244 2431 2618 2652 3003 3094 3927 4004 4641 4862 5236 6006 6188 7293 7854 9282 9724 12012 14586 15708 17017 18564 29172 34034 51051 68068 102102 204204