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201918906 = 2357261139
BaseRepresentation
bin11000000100100…
…00100110111010
3112001221112200000
430002100212322
5403142401111
632011453430
75001165600
oct1402204672
9461845600
10201918906
11a3a83732
1257757276
1332aa9857
141cb61870
1512ad7c56
hexc0909ba

201918906 has 144 divisors (see below), whose sum is σ = 540277920. Its totient is φ = 56337120.

The previous prime is 201918901. The next prime is 201918907. The reversal of 201918906 is 609819102.

It is not an unprimeable number, because it can be changed into a prime (201918901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1452585 + ... + 1452723.

It is an arithmetic number, because the mean of its divisors is an integer number (3751930).

Almost surely, 2201918906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201918906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

201918906 is an abundant number, since it is smaller than the sum of its proper divisors (338359014).

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

201918906 is a wasteful number, since it uses less digits than its factorization.

201918906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 201918906 is about 14209.8172402040. The cubic root of 201918906 is about 586.6679028182.

The spelling of 201918906 in words is "two hundred one million, nine hundred eighteen thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 81 98 122 126 139 147 162 183 189 243 278 294 366 378 417 427 441 486 549 567 834 854 882 973 1098 1134 1251 1281 1323 1647 1701 1946 2502 2562 2646 2919 2989 3294 3402 3753 3843 3969 4941 5838 5978 6811 7506 7686 7938 8479 8757 8967 9882 11259 11529 11907 13622 14823 16958 17514 17934 20433 22518 23058 23814 25437 26271 26901 29646 33777 34587 40866 50874 52542 53802 59353 61299 67554 69174 76311 78813 80703 103761 118706 122598 152622 157626 161406 178059 183897 207522 228933 236439 242109 356118 367794 415471 457866 472878 484218 534177 551691 686799 726327 830942 1068354 1103382 1246413 1373598 1452654 1602531 1655073 2060397 2492826 3205062 3310146 3739239 4120794 4807593 7478478 9615186 11217717 14422779 22435434 28845558 33653151 67306302 100959453 201918906