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204836268 = 2237213127211
BaseRepresentation
bin11000011010110…
…00110110101100
3112021102202112110
430031120312230
5404414230033
632154204020
75035036200
oct1415306654
9467382473
10204836268
11a569657a
1258723610
133358b6c0
141d2c0b00
1512eb2363
hexc358dac

204836268 has 144 divisors (see below), whose sum is σ = 606326784. Its totient is φ = 53343360.

The previous prime is 204836267. The next prime is 204836273. The reversal of 204836268 is 862638402.

204836268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204836267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970683 + ... + 970893.

Almost surely, 2204836268 is an apocalyptic number.

204836268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204836268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303163392).

204836268 is an abundant number, since it is smaller than the sum of its proper divisors (401490516).

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

204836268 is a wasteful number, since it uses less digits than its factorization.

204836268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 204836268 is about 14312.1021516757. The cubic root of 204836268 is about 589.4798326387.

The spelling of 204836268 in words is "two hundred four million, eight hundred thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 211 254 273 294 364 381 422 508 546 588 633 637 762 844 889 1092 1266 1274 1477 1524 1651 1778 1911 2532 2548 2667 2743 2954 3302 3556 3822 4431 4953 5334 5486 5908 6223 6604 7644 8229 8862 9906 10339 10668 10972 11557 12446 16458 17724 18669 19201 19812 20678 23114 24892 26797 31017 32916 34671 37338 38402 41356 46228 53594 57603 62034 69342 74676 76804 80391 80899 107188 115206 124068 134407 138684 160782 161798 187579 230412 242697 268814 321564 323596 348361 375158 403221 485394 537628 562737 696722 750316 806442 970788 1045083 1125474 1313053 1393444 1612884 2090166 2250948 2438527 2626106 3939159 4180332 4877054 5252212 7315581 7878318 9754108 14631162 15756636 17069689 29262324 34139378 51209067 68278756 102418134 204836268