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200666268 = 223311533187
BaseRepresentation
bin10111111010111…
…10110010011100
3111222120220101000
423331132302130
5402332310033
631524550300
74654430565
oct1375366234
9458526330
10200666268
11a32a85a0
1257252390
133275b64a
141c91716c
151293ba13
hexbf5ec9c

200666268 has 96 divisors (see below), whose sum is σ = 578430720. Its totient is φ = 59641920.

The previous prime is 200666267. The next prime is 200666287. The reversal of 200666268 is 862666002.

200666268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2006662682 = 80533902226095648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200666261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61371 + ... + 64557.

It is an arithmetic number, because the mean of its divisors is an integer number (6025320).

Almost surely, 2200666268 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 200666268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289215360).

200666268 is an abundant number, since it is smaller than the sum of its proper divisors (377764452).

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

200666268 is a wasteful number, since it uses less digits than its factorization.

200666268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3256 counting only the distinct ones).

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

The square root of 200666268 is about 14165.6721690148. The cubic root of 200666268 is about 585.4522210079.

The spelling of 200666268 in words is "two hundred million, six hundred sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 297 318 396 477 583 594 636 954 1166 1188 1431 1749 1908 2332 2862 3187 3498 5247 5724 6374 6996 9561 10494 12748 15741 19122 20988 28683 31482 35057 38244 57366 62964 70114 86049 105171 114732 140228 168911 172098 210342 315513 337822 344196 420684 506733 631026 675644 946539 1013466 1262052 1520199 1858021 1893078 2026932 3040398 3716042 3786156 4560597 5574063 6080796 7432084 9121194 11148126 16722189 18242388 22296252 33444378 50166567 66888756 100333134 200666268