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212024422244240 = 24531129063293221
BaseRepresentation
bin110000001101010111001000…
…010111110001111110010000
31000210201100002112110201021022
4300031113020113301332100
5210242302004043303430
62030534401441015012
762442154560066344
oct6015271027617620
91023640075421238
10212024422244240
1161615063989781
121b943906024468
13913ca815a7158
143a50072d53624
15197a3960aa4e5
hexc0d5c85f1f90

212024422244240 has 80 divisors (see below), whose sum is σ = 494560554598656. Its totient is φ = 84533871628800.

The previous prime is 212024422244209. The next prime is 212024422244273. The reversal of 212024422244240 is 42442224420212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 212024422244240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722940830 + ... + 723234050.

Almost surely, 2212024422244240 is an apocalyptic number.

212024422244240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212024422244240 is an abundant number, since it is smaller than the sum of its proper divisors (282536132354416).

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

212024422244240 is a wasteful number, since it uses less digits than its factorization.

212024422244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322608 (or 322602 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 35.

Adding to 212024422244240 its reverse (42442224420212), we get a palindrome (254466646664452).

The spelling of 212024422244240 in words is "two hundred twelve trillion, twenty-four billion, four hundred twenty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 311 622 1244 1555 2488 3110 4976 6220 12440 24880 29063 58126 116252 145315 232504 290630 293221 465008 581260 586442 1162520 1172884 1466105 2325040 2345768 2932210 4691536 5864420 9038593 11728840 18077186 23457680 36154372 45192965 72308744 90385930 91191731 144617488 180771860 182383462 361543720 364766924 455958655 723087440 729533848 911917310 1459067696 1823834620 3647669240 7295338480 8521881923 17043763846 34087527692 42609409615 68175055384 85218819230 136350110768 170437638460 340875276920 681750553840 2650305278053 5300610556106 10601221112212 13251526390265 21202442224424 26503052780530 42404884448848 53006105561060 106012211122120 212024422244240