Search a number
-
+
204166494 = 2347435379
BaseRepresentation
bin11000010101101…
…01010101011110
3112020011201210000
430022311111132
5404231311434
632131555130
75026246410
oct1412652536
9466151700
10204166494
11a5279344
125845baa6
13333b589c
141d1889b0
1512dcdb99
hexc2b555e

204166494 has 160 divisors (see below), whose sum is σ = 551992320. Its totient is φ = 55194048.

The previous prime is 204166493. The next prime is 204166499. The reversal of 204166494 is 494661402.

204166494 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 6 + 649 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204166493) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2584347 + ... + 2584425.

It is an arithmetic number, because the mean of its divisors is an integer number (3449952).

Almost surely, 2204166494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204166494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275996160).

204166494 is an abundant number, since it is smaller than the sum of its proper divisors (347825826).

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

204166494 is a wasteful number, since it uses less digits than its factorization.

204166494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204166494 is about 14288.6841241592. The cubic root of 204166494 is about 588.8366370130.

The spelling of 204166494 in words is "two hundred four million, one hundred sixty-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 53 54 63 79 81 86 106 126 129 158 159 162 189 237 258 301 318 371 378 387 474 477 553 567 602 711 742 774 903 954 1106 1113 1134 1161 1422 1431 1659 1806 2133 2226 2279 2322 2709 2862 3318 3339 3397 3483 4187 4266 4293 4558 4977 5418 6399 6678 6794 6837 6966 8127 8374 8586 9954 10017 10191 12561 12798 13674 14931 15953 16254 20034 20382 20511 23779 24381 25122 29309 29862 30051 30573 31906 37683 41022 44793 47558 47859 48762 58618 60102 61146 61533 71337 75366 87927 89586 91719 95718 113049 123066 142674 143577 175854 180041 183438 184599 214011 226098 263781 275157 287154 339147 360082 369198 428022 430731 527562 540123 550314 642033 678294 791343 861462 1080246 1260287 1284066 1292193 1582686 1620369 1926099 2374029 2520574 2584386 3240738 3780861 3852198 4748058 4861107 7561722 9722214 11342583 14583321 22685166 29166642 34027749 68055498 102083247 204166494