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23230012303200 = 2535213770650889
BaseRepresentation
bin1010100100000101010001…
…01000011010011101100000
310001020202201111110102210110
411102002220220122131200
511021100031122200300
6121223415331331320
74615212234423153
oct522025050323540
9101222644412713
1023230012303200
11744687a38157a
122732170150b40
13cc6771c14ba1
145a44a5163c9a
152a43ec7a8550
hex1520a8a1a760

23230012303200 has 144 divisors (see below), whose sum is σ = 76165615869840. Its totient is φ = 6149453291520.

The previous prime is 23230012303159. The next prime is 23230012303207. The reversal of 23230012303200 is 230321003232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230012303207) by changing a digit.

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, 34996645 + ... + 35654244.

It is an arithmetic number, because the mean of its divisors is an integer number (528927887985).

Almost surely, 223230012303200 is an apocalyptic number.

23230012303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23230012303200 is an abundant number, since it is smaller than the sum of its proper divisors (52935603566640).

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

23230012303200 is a wasteful number, since it uses less digits than its factorization.

23230012303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70651049 (or 70651036 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 23230012303200 its reverse (230321003232), we get a palindrome (23460333306432).

The spelling of 23230012303200 in words is "twenty-three trillion, two hundred thirty billion, twelve million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 137 150 160 200 240 274 300 400 411 480 548 600 685 800 822 1096 1200 1370 1644 2055 2192 2400 2740 3288 3425 4110 4384 5480 6576 6850 8220 10275 10960 13152 13700 16440 20550 21920 27400 32880 41100 54800 65760 82200 109600 164400 328800 70650889 141301778 211952667 282603556 353254445 423905334 565207112 706508890 847810668 1059763335 1130414224 1413017780 1695621336 1766272225 2119526670 2260828448 2826035560 3391242672 3532544450 4239053340 5298816675 5652071120 6782485344 7065088900 8478106680 9679171793 10597633350 11304142240 14130177800 16956213360 19358343586 21195266700 28260355600 29037515379 33912426720 38716687172 42390533400 48395858965 56520711200 58075030758 77433374344 84781066800 96791717930 116150061516 145187576895 154866748688 169562133600 193583435860 232300123032 241979294825 290375153790 309733497376 387166871720 464600246064 483958589650 580750307580 725937884475 774333743440 929200492128 967917179300 1161500615160 1451875768950 1548667486880 1935834358600 2323001230320 2903751537900 3871668717200 4646002460640 5807503075800 7743337434400 11615006151600 23230012303200