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230303020200 = 233521134894397
BaseRepresentation
bin1101011001111100100…
…0010011010010101000
3211000110012202121102220
43112133020103102220
512233130033121300
6253444424554040
722432060241451
oct3263710232250
9730405677386
10230303020200
1189742061850
1238774022920
13189433cb966
14b20a888128
155ecd9a6da0
hex359f2134a8

230303020200 has 96 divisors (see below), whose sum is σ = 778842963360. Its totient is φ = 55831033600.

The previous prime is 230303020141. The next prime is 230303020201. The reversal of 230303020200 is 2020303032.

230303020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303030202002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230303020200.

It is not an unprimeable number, because it can be changed into a prime (230303020201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17440599 + ... + 17453798.

It is an arithmetic number, because the mean of its divisors is an integer number (8112947535).

Almost surely, 2230303020200 is an apocalyptic number.

230303020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230303020200 is an abundant number, since it is smaller than the sum of its proper divisors (548539943160).

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

230303020200 is a wasteful number, since it uses less digits than its factorization.

230303020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34894427 (or 34894418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 230303020200 its reverse (2020303032), we get a palindrome (232323323232).

The spelling of 230303020200 in words is "two hundred thirty billion, three hundred three million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 34894397 69788794 104683191 139577588 174471985 209366382 279155176 348943970 383838367 418732764 523415955 697887940 767676734 837465528 872359925 1046831910 1151515101 1395775880 1535353468 1744719850 1919191835 2093663820 2303030202 2617079775 3070706936 3489439700 3838383670 4187327640 4606060404 5234159550 5757575505 6978879400 7676767340 9212120808 9595959175 10468319100 11515151010 15353534680 19191918350 20936638200 23030302020 28787877525 38383836700 46060604040 57575755050 76767673400 115151510100 230303020200