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230221011300 = 223527131836863
BaseRepresentation
bin1101011001101000111…
…1011101100101100100
3211000020111110010101020
43112122033131211210
512232443034330200
6253432335131140
722430043210450
oct3263217354544
9730214403336
10230221011300
11896aa8392a5
1238750673ab0
131892c417097
14b1dda1b660
155ec66a7ea0
hex359a3dd964

230221011300 has 144 divisors (see below), whose sum is σ = 767076237312. Its totient is φ = 52220188800.

The previous prime is 230221011281. The next prime is 230221011311. The reversal of 230221011300 is 3110122032.

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 230221011300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143332 + ... + 693531.

Almost surely, 2230221011300 is an apocalyptic number.

230221011300 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 230221011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383538118656).

230221011300 is an abundant number, since it is smaller than the sum of its proper divisors (536855226012).

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

230221011300 is a wasteful number, since it uses less digits than its factorization.

230221011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837018 (or 837011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230221011300 its reverse (3110122032), we get a palindrome (233331133332).

The spelling of 230221011300 in words is "two hundred thirty billion, two hundred twenty-one million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 131 140 150 175 210 262 300 350 393 420 524 525 655 700 786 917 1050 1310 1572 1834 1965 2100 2620 2751 3275 3668 3930 4585 5502 6550 7860 9170 9825 11004 13100 13755 18340 19650 22925 27510 39300 45850 55020 68775 91700 137550 275100 836863 1673726 2510589 3347452 4184315 5021178 5858041 8368630 10042356 11716082 12552945 16737260 17574123 20921575 23432164 25105890 29290205 35148246 41843150 50211780 58580410 62764725 70296492 83686300 87870615 109629053 117160820 125529450 146451025 175741230 219258106 251058900 292902050 328887159 351482460 438516212 439353075 548145265 585804100 657774318 767403371 878706150 1096290530 1315548636 1534806742 1644435795 1757412300 2192581060 2302210113 2740726325 3069613484 3288871590 3837016855 4604420226 5481452650 6577743180 7674033710 8222178975 9208840452 10962905300 11511050565 15348067420 16444357950 19185084275 23022101130 32888715900 38370168550 46044202260 57555252825 76740337100 115110505650 230221011300