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200455992 = 233311239353
BaseRepresentation
bin10111111001010…
…11011100111000
3111222012012221000
423330223130320
5402304042432
631520245000
74652563542
oct1374533470
9458165830
10200455992
11a3174610
1257170760
13326b6a19
141c8a0692
15128e957c
hexbf2b738

200455992 has 128 divisors (see below), whose sum is σ = 611712000. Its totient is φ = 60318720.

The previous prime is 200455991. The next prime is 200456041. The reversal of 200455992 is 299554002.

It is a happy number.

200455992 is a `hidden beast` number, since 20 + 0 + 45 + 599 + 2 = 666.

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 (200455991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567688 + ... + 568040.

It is an arithmetic number, because the mean of its divisors is an integer number (4779000).

Almost surely, 2200455992 is an apocalyptic number.

200455992 is a gapful number since it is divisible by the number (22) 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 200455992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305856000).

200455992 is an abundant number, since it is smaller than the sum of its proper divisors (411256008).

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

200455992 is a wasteful number, since it uses less digits than its factorization.

200455992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 200455992 is about 14158.2481967226. The cubic root of 200455992 is about 585.2476531979.

The spelling of 200455992 in words is "two hundred million, four hundred fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 239 264 297 353 396 478 594 706 717 792 956 1059 1188 1412 1434 1912 2118 2151 2376 2629 2824 2868 3177 3883 4236 4302 5258 5736 6354 6453 7766 7887 8472 8604 9531 10516 11649 12708 12906 15532 15774 17208 19062 21032 23298 23661 25416 25812 31064 31548 34947 38124 46596 47322 51624 63096 69894 70983 76248 84367 93192 94644 104841 139788 141966 168734 189288 209682 253101 279576 283932 337468 419364 506202 567864 674936 759303 838728 928037 1012404 1518606 1856074 2024808 2277909 2784111 3037212 3712148 4555818 5568222 6074424 7424296 8352333 9111636 11136444 16704666 18223272 22272888 25056999 33409332 50113998 66818664 100227996 200455992