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206361204 = 223719239541
BaseRepresentation
bin11000100110011…
…01001001110100
3112101022020100120
430103031021310
5410312024304
632251011540
75054020110
oct1423151164
9471266316
10206361204
11a6538255
1259139bb0
13339a382a
141d59a740
15131b40d9
hexc4cd274

206361204 has 96 divisors (see below), whose sum is σ = 582758400. Its totient is φ = 55520640.

The previous prime is 206361191. The next prime is 206361217. The reversal of 206361204 is 402163602.

It is an interprime number because it is at equal distance from previous prime (206361191) and next prime (206361217).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381174 + ... + 381714.

It is an arithmetic number, because the mean of its divisors is an integer number (6070400).

Almost surely, 2206361204 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 206361204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291379200).

206361204 is an abundant number, since it is smaller than the sum of its proper divisors (376397196).

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

206361204 is a wasteful number, since it uses less digits than its factorization.

206361204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 206361204 is about 14365.2777209492. The cubic root of 206361204 is about 590.9390427880.

The spelling of 206361204 in words is "two hundred six million, three hundred sixty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 239 266 399 478 532 541 717 798 956 1082 1434 1596 1623 1673 2164 2868 3246 3346 3787 4541 5019 6492 6692 7574 9082 10038 10279 11361 13623 15148 18164 20076 20558 22722 27246 30837 31787 41116 45444 54492 61674 63574 71953 95361 123348 127148 129299 143906 190722 215859 258598 287812 381444 387897 431718 517196 775794 863436 905093 1551588 1810186 2456681 2715279 3620372 4913362 5430558 7370043 9826724 10861116 14740086 17196767 29480172 34393534 51590301 68787068 103180602 206361204