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212002023200 = 255211199121061
BaseRepresentation
bin1100010101110001001…
…1100010011100100000
3202021012210012122011012
43011130103202130200
511433140004220300
6241220431040052
721213415315202
oct3053423423440
9667183178135
10212002023200
1181a00684940
1235107070028
1316cb7a11856
14a3920a8772
1557abe94435
hex315c4e2720

212002023200 has 144 divisors (see below), whose sum is σ = 567441806400. Its totient is φ = 76703616000.

The previous prime is 212002023179. The next prime is 212002023221. The reversal of 212002023200 is 2320200212.

It is an interprime number because it is at equal distance from previous prime (212002023179) and next prime (212002023221).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690670 + ... + 1811730.

It is an arithmetic number, because the mean of its divisors is an integer number (3940568100).

Almost surely, 2212002023200 is an apocalyptic number.

212002023200 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 212002023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283720903200).

212002023200 is an abundant number, since it is smaller than the sum of its proper divisors (355439783200).

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

212002023200 is a wasteful number, since it uses less digits than its factorization.

212002023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121291 (or 121278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 212002023200 its reverse (2320200212), we get a palindrome (214322223412).

The spelling of 212002023200 in words is "two hundred twelve billion, two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 199 200 220 275 352 398 400 440 550 796 800 880 995 1100 1592 1760 1990 2189 2200 3184 3980 4378 4400 4975 6368 7960 8756 8800 9950 10945 15920 17512 19900 21890 31840 35024 39800 43780 54725 70048 79600 87560 109450 121061 159200 175120 218900 242122 350240 437800 484244 605305 875600 968488 1210610 1331671 1751200 1936976 2421220 2663342 3026525 3873952 4842440 5326684 6053050 6658355 9684880 10653368 12106100 13316710 19369760 21306736 24091139 24212200 26633420 33291775 42613472 48182278 48424400 53266840 66583550 96364556 96848800 106533680 120455695 133167100 192729112 213067360 240911390 265002529 266334200 385458224 481822780 530005058 532668400 602278475 770916448 963645560 1060010116 1065336800 1204556950 1325012645 1927291120 2120020232 2409113900 2650025290 3854582240 4240040464 4818227800 5300050580 6625063225 8480080928 9636455600 10600101160 13250126450 19272911200 21200202320 26500252900 42400404640 53000505800 106001011600 212002023200