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8224808240 = 2451147198859
BaseRepresentation
bin1111010100011110…
…01001110100110000
3210020012102112211102
413222033021310300
5113321022330430
63440050103532
7410550500525
oct75217116460
923205375742
108224808240
113540765190
12171657aba8
13a10ca524c
145804a714c
15332105345
hex1ea3c9d30

8224808240 has 80 divisors (see below), whose sum is σ = 21305064960. Its totient is φ = 2927189760.

The previous prime is 8224808227. The next prime is 8224808297. The reversal of 8224808240 is 428084228.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 8224808194 and 8224808203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58070 + ... + 140789.

It is an arithmetic number, because the mean of its divisors is an integer number (266313312).

Almost surely, 28224808240 is an apocalyptic number.

8224808240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8224808240 is an abundant number, since it is smaller than the sum of its proper divisors (13080256720).

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

8224808240 is a wasteful number, since it uses less digits than its factorization.

8224808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198930 (or 198924 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 8224808240 is about 90690.7285228209. The cubic root of 8224808240 is about 2018.5612275248.

The spelling of 8224808240 in words is "eight billion, two hundred twenty-four million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 198859 397718 795436 994295 1590872 1988590 2187449 3181744 3977180 4374898 7954360 8749796 9346373 10937245 15908720 17499592 18692746 21874490 34999184 37385492 43748980 46731865 74770984 87497960 93463730 102810103 149541968 174995920 186927460 205620206 373854920 411240412 514050515 747709840 822480824 1028101030 1644961648 2056202060 4112404120 8224808240