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230000200 = 235211310177
BaseRepresentation
bin11011011010110…
…00011001001000
3121000210012221221
431231120121020
5432340001300
634453411424
75461653343
oct1555303110
9530705857
10230000200
11108913611
1265039b74
133885c3c1
142279145a
15152d331a
hexdb58648

230000200 has 48 divisors (see below), whose sum is σ = 539535780. Its totient is φ = 91176960.

The previous prime is 230000179. The next prime is 230000209. The reversal of 230000200 is 2000032.

It can be written as a sum of positive squares in 6 ways, for example, as 34503876 + 195496324 = 5874^2 + 13982^2 .

It is not an unprimeable number, because it can be changed into a prime (230000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17512 + ... + 27688.

Almost surely, 2230000200 is an apocalyptic number.

230000200 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 230000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269767890).

230000200 is an abundant number, since it is smaller than the sum of its proper divisors (309535580).

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

230000200 is a wasteful number, since it uses less digits than its factorization.

230000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 230000200 is about 15165.7574819064. The cubic root of 230000200 is about 612.6927451148.

Adding to 230000200 its reverse (2000032), we get a palindrome (232000232).

The spelling of 230000200 in words is "two hundred thirty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 10177 11300 20354 22600 40708 50885 81416 101770 203540 254425 407080 508850 1017700 1150001 2035400 2300002 4600004 5750005 9200008 11500010 23000020 28750025 46000040 57500050 115000100 230000200