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230302000200 = 233521759218213
BaseRepresentation
bin1101011001111100010…
…0011010010001001000
3211000110010211210021010
43112133010122101020
512233124303001300
6253444351043520
722432045462626
oct3263704322110
9730403753233
10230302000200
1189741525478
12387738105a0
13189431325cc
14b20a6a0516
155ecd854a50
hex359f11a448

230302000200 has 96 divisors (see below), whose sum is σ = 714345350400. Its totient is φ = 61378671360.

The previous prime is 230302000193. The next prime is 230302000219. The reversal of 230302000200 is 2000203032.

It is a super-2 number, since 2×2303020002002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 946294 + ... + 1164506.

It is an arithmetic number, because the mean of its divisors is an integer number (7441097400).

Almost surely, 2230302000200 is an apocalyptic number.

230302000200 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 230302000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357172675200).

230302000200 is an abundant number, since it is smaller than the sum of its proper divisors (484043350200).

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

230302000200 is a wasteful number, since it uses less digits than its factorization.

230302000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219991 (or 219982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 230302000200 its reverse (2000203032), we get a palindrome (232302203232).

The spelling of 230302000200 in words is "two hundred thirty billion, three hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1759 3518 5277 7036 8795 10554 14072 17590 21108 26385 35180 42216 43975 52770 70360 87950 105540 131925 175900 211080 218213 263850 351800 436426 527700 654639 872852 1055400 1091065 1309278 1745704 2182130 2618556 3273195 4364260 5237112 5455325 6546390 8728520 10910650 13092780 16365975 21821300 26185560 32731950 43642600 65463900 130927800 383836667 767673334 1151510001 1535346668 1919183335 2303020002 3070693336 3838366670 4606040004 5757550005 7676733340 9212080008 9595916675 11515100010 15353466680 19191833350 23030200020 28787750025 38383666700 46060400040 57575500050 76767333400 115151000100 230302000200