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200345085 = 32517379691
BaseRepresentation
bin10111111000100…
…00010111111101
3111221222120210100
423330100113331
5402242020320
631514031313
74651622313
oct1374202775
9457876710
10200345085
11a30a9256
1257118539
13326783b5
141c8720b3
15128c6790
hexbf105fd

200345085 has 48 divisors (see below), whose sum is σ = 369195840. Its totient is φ = 100154880.

The previous prime is 200345083. The next prime is 200345143. The reversal of 200345085 is 580543002.

200345085 is a `hidden beast` number, since 200 + 3 + 450 + 8 + 5 = 666.

It is not a de Polignac number, because 200345085 - 21 = 200345083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200345081) 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 47 ways as a sum of consecutive naturals, for example, 289590 + ... + 290280.

It is an arithmetic number, because the mean of its divisors is an integer number (7691580).

Almost surely, 2200345085 is an apocalyptic number.

It is an amenable number.

200345085 is a deficient number, since it is larger than the sum of its proper divisors (168850755).

200345085 is a wasteful number, since it uses less digits than its factorization.

200345085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 200345085 is about 14154.3309626418. The cubic root of 200345085 is about 585.1396992689.

Adding to 200345085 its reverse (580543002), we get a palindrome (780888087).

The spelling of 200345085 in words is "two hundred million, three hundred forty-five thousand, eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 379 691 765 1137 1895 2073 3411 3455 5685 6219 6443 10365 11747 17055 19329 31095 32215 35241 57987 58735 96645 105723 176205 261889 289935 528615 785667 1309445 2357001 3928335 4452113 11785005 13356339 22260565 40069017 66781695 200345085