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8224515140 = 2253149127017
BaseRepresentation
bin1111010100011100…
…00010010001000100
3210020011212122202212
413222032002101010
5113320433441030
63440035522552
7410545140152
oct75216022104
923204778685
108224515140
113540584a56
121716459458
13a10c01a0a
1458042c3d2
15332098595
hex1ea382444

8224515140 has 48 divisors (see below), whose sum is σ = 17865598464. Its totient is φ = 3177081600.

The previous prime is 8224515139. The next prime is 8224515149. The reversal of 8224515140 is 415154228.

It is a junction number, because it is equal to n+sod(n) for n = 8224515097 and 8224515106.

It is not an unprimeable number, because it can be changed into a prime (8224515149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290912 + ... + 317928.

It is an arithmetic number, because the mean of its divisors is an integer number (372199968).

Almost surely, 28224515140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8224515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932799232).

8224515140 is an abundant number, since it is smaller than the sum of its proper divisors (9641083324).

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

8224515140 is a wasteful number, since it uses less digits than its factorization.

8224515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27548 (or 27546 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 8224515140 is about 90689.1125769792. The cubic root of 8224515140 is about 2018.5372493640.

Adding to 8224515140 its reverse (415154228), we get a palindrome (8639669368).

The spelling of 8224515140 in words is "eight billion, two hundred twenty-four million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 491 620 982 1964 2455 4910 9820 15221 27017 30442 54034 60884 76105 108068 135085 152210 270170 304420 540340 837527 1675054 3350108 4187635 8375270 13265347 16750540 26530694 53061388 66326735 132653470 265306940 411225757 822451514 1644903028 2056128785 4112257570 8224515140