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200005000 = 23541317181
BaseRepresentation
bin10111110101111…
…01010110001000
3111221100022021121
423322331112020
5402200130000
631502445024
74646004646
oct1372752610
9457308247
10200005000
11a2996798
1256b93774
1332589670
141c7c4196
151285ab1a
hexbebd588

200005000 has 160 divisors (see below), whose sum is σ = 537296760. Its totient is φ = 69120000.

The previous prime is 200004971. The next prime is 200005007. The reversal of 200005000 is 500002.

It can be written as a sum of positive squares in 20 ways, for example, as 152917956 + 47087044 = 12366^2 + 6862^2 .

It is a sliding number, since 200005000 = 5000 + 200000000 and 1/5000 + 1/200000000 = 0.000200005000.

It is not an unprimeable number, because it can be changed into a prime (200005007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1104910 + ... + 1105090.

Almost surely, 2200005000 is an apocalyptic number.

200005000 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 200005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268648380).

200005000 is an abundant number, since it is smaller than the sum of its proper divisors (337291760).

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

200005000 is a wasteful number, since it uses less digits than its factorization.

200005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 200005000 is about 14142.3123993214. The cubic root of 200005000 is about 584.8084209649.

Adding to 200005000 its reverse (500002), we get a palindrome (200505002).

It can be divided in two parts, 20000 and 5000, that multiplied together give a 8-th power (100000000 = 108).

The spelling of 200005000 in words is "two hundred million, five thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 181 200 221 250 260 325 340 362 425 442 500 520 625 650 680 724 850 884 905 1000 1105 1250 1300 1448 1625 1700 1768 1810 2125 2210 2353 2500 2600 3077 3250 3400 3620 4250 4420 4525 4706 5000 5525 6154 6500 7240 8125 8500 8840 9050 9412 10625 11050 11765 12308 13000 15385 16250 17000 18100 18824 21250 22100 22625 23530 24616 27625 30770 32500 36200 40001 42500 44200 45250 47060 55250 58825 61540 65000 76925 80002 85000 90500 94120 110500 113125 117650 123080 138125 153850 160004 181000 200005 221000 226250 235300 276250 294125 307700 320008 384625 400010 452500 470600 552500 588250 615400 769250 800020 905000 1000025 1105000 1176500 1470625 1538500 1600040 1923125 2000050 2353000 2941250 3077000 3846250 4000100 5000125 5882500 7692500 8000200 10000250 11765000 15385000 20000500 25000625 40001000 50001250 100002500 200005000