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9809308224 = 263331118253
BaseRepresentation
bin10010010001010111…
…00010101001000000
3221022121221111012000
421020223202221000
5130042140330344
64301211304000
7465040513152
oct111053425100
927277844160
109809308224
11418410a501
121a9914b000
13c04341bc1
14690ac4ad2
153c6291a69
hex248ae2a40

9809308224 has 112 divisors (see below), whose sum is σ = 28931859840. Its totient is φ = 3259077120.

The previous prime is 9809308219. The next prime is 9809308231. The reversal of 9809308224 is 4228039089.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9809308224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528282 + ... + 546534.

Almost surely, 29809308224 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 9809308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465929920).

9809308224 is an abundant number, since it is smaller than the sum of its proper divisors (19122551616).

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

9809308224 is a wasteful number, since it uses less digits than its factorization.

9809308224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18585 (or 18569 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9809308224 is about 99041.9518386022. The cubic root of 9809308224 is about 2140.6522761989.

The spelling of 9809308224 in words is "nine billion, eight hundred nine million, three hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 311 432 576 622 864 933 1244 1728 1866 2488 2799 3732 4976 5598 7464 8397 9952 11196 14928 16794 18253 19904 22392 29856 33588 36506 44784 54759 59712 67176 73012 89568 109518 134352 146024 164277 179136 219036 268704 292048 328554 438072 492831 537408 584096 657108 876144 985662 1168192 1314216 1752288 1971324 2628432 3504576 3942648 5256864 5676683 7885296 10513728 11353366 15770592 17030049 22706732 31541184 34060098 45413464 51090147 68120196 90826928 102180294 136240392 153270441 181653856 204360588 272480784 306540882 363307712 408721176 544961568 613081764 817442352 1089923136 1226163528 1634884704 2452327056 3269769408 4904654112 9809308224