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204168 = 23347181
BaseRepresentation
bin110001110110001000
3101101001210
4301312020
523013133
64213120
71510146
oct616610
9341053
10204168
1112a438
129a1a0
1371c13
1454596
1540763
hex31d88

204168 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 66240.

The previous prime is 204163. The next prime is 204173. The reversal of 204168 is 861402.

It is an interprime number because it is at equal distance from previous prime (204163) and next prime (204173).

It is not an unprimeable number, because it can be changed into a prime (204161) by changing a digit.

204168 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 7 ways as a sum of consecutive naturals, for example, 1038 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2204168 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 204168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

204168 is an abundant number, since it is smaller than the sum of its proper divisors (319992).

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

204168 is a wasteful number, since it uses less digits than its factorization.

204168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 204168 is about 451.8495324774. The cubic root of 204168 is about 58.8838084828.

The spelling of 204168 in words is "two hundred four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 181 188 282 362 376 543 564 724 1086 1128 1448 2172 4344 8507 17014 25521 34028 51042 68056 102084 204168