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200066460 = 2235111072833
BaseRepresentation
bin10111110110011…
…00010110011100
3111221110102120220
423323030112130
5402204111320
631504041340
74646352066
oct1373142634
9457412526
10200066460
11a2a28990
1257003250
13325ab629
141c7dc736
151286de40
hexbecc59c

200066460 has 96 divisors (see below), whose sum is σ = 617041152. Its totient is φ = 48030720.

The previous prime is 200066423. The next prime is 200066483. The reversal of 200066460 is 64660002.

It is a self number, because there is not a number n which added to its sum of digits gives 200066460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69204 + ... + 72036.

It is an arithmetic number, because the mean of its divisors is an integer number (6427512).

Almost surely, 2200066460 is an apocalyptic number.

200066460 is a gapful number since it is divisible by the number (20) 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 200066460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308520576).

200066460 is an abundant number, since it is smaller than the sum of its proper divisors (416974692).

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

200066460 is a wasteful number, since it uses less digits than its factorization.

200066460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2961 counting only the distinct ones).

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

The square root of 200066460 is about 14144.4851443946. The cubic root of 200066460 is about 584.8683172084.

The spelling of 200066460 in words is "two hundred million, sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 2833 3210 3531 4708 5666 5885 6420 7062 8499 11332 11770 14124 14165 16998 17655 23540 28330 31163 33996 35310 42495 56660 62326 70620 84990 93489 124652 155815 169980 186978 303131 311630 373956 467445 606262 623260 909393 934890 1212524 1515655 1818786 1869780 3031310 3334441 3637572 4546965 6062620 6668882 9093930 10003323 13337764 16672205 18187860 20006646 33344410 40013292 50016615 66688820 100033230 200066460