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20248008330 = 235111011633727
BaseRepresentation
bin10010110110111000…
…000001011010001010
31221021010012101201110
4102312320001122022
5312431442231310
613145105031150
71314523142154
oct226670013212
957233171643
1020248008330
118650522390
123b110254b6
131ba8ba0924
14da1203ad4
157d7909d20
hex4b6e0168a

20248008330 has 128 divisors (see below), whose sum is σ = 53880754176. Its totient is φ = 4828896000.

The previous prime is 20248008317. The next prime is 20248008359. The reversal of 20248008330 is 3380084202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5430927 + ... + 5434653.

It is an arithmetic number, because the mean of its divisors is an integer number (420943392).

Almost surely, 220248008330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20248008330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26940377088).

20248008330 is an abundant number, since it is smaller than the sum of its proper divisors (33632745846).

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

20248008330 is a wasteful number, since it uses less digits than its factorization.

20248008330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 20248008330 in words is "twenty billion, two hundred forty-eight million, eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 163 165 202 303 326 330 489 505 606 815 978 1010 1111 1515 1630 1793 2222 2445 3030 3333 3586 3727 4890 5379 5555 6666 7454 8965 10758 11110 11181 16463 16665 17930 18635 22362 26895 32926 33330 37270 40997 49389 53790 55905 81994 82315 98778 111810 122991 164630 181093 204985 245982 246945 362186 376427 409970 493890 543279 607501 614955 752854 905465 1086558 1129281 1215002 1229910 1810930 1822503 1882135 2258562 2716395 3037505 3645006 3764270 4140697 5432790 5646405 6075010 6682511 8281394 9112515 11292810 12422091 13365022 18225030 20047533 20703485 24844182 33412555 40095066 41406970 61357601 62110455 66825110 100237665 122715202 124220910 184072803 200475330 306788005 368145606 613576010 674933611 920364015 1349867222 1840728030 2024800833 3374668055 4049601666 6749336110 10124004165 20248008330