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200506005 = 3257837669
BaseRepresentation
bin10111111001101…
…11101010010101
3111222021202112100
423330313222111
5402312143010
631521312313
74653162420
oct1374675225
9458252470
10200506005
11a31a9147
1257195699
133270370b
141c8b49b7
15129092c0
hexbf37a95

200506005 has 48 divisors (see below), whose sum is σ = 402030720. Its totient is φ = 90543744.

The previous prime is 200505989. The next prime is 200506027. The reversal of 200506005 is 500605002.

It is not a de Polignac number, because 200506005 - 24 = 200505989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22311 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (8375640).

Almost surely, 2200506005 is an apocalyptic number.

It is an amenable number.

200506005 is an abundant number, since it is smaller than the sum of its proper divisors (201524715).

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

200506005 is a wasteful number, since it uses less digits than its factorization.

200506005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 200506005 is about 14160.0143008402. The cubic root of 200506005 is about 585.2963214977.

The spelling of 200506005 in words is "two hundred million, five hundred six thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 415 581 747 1245 1743 2905 3735 5229 7669 8715 23007 26145 38345 53683 69021 115035 161049 268415 345105 483147 636527 805245 1909581 2415735 3182635 4455689 5728743 9547905 13367067 22278445 28643715 40101201 66835335 200506005