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3225120808 = 2372135311941
BaseRepresentation
bin1100000000111011…
…0111000000101000
322022202122010000211
43000032313000220
523101112331213
61252005310504
7142631034400
oct30016670050
98282563024
103225120808
111405550aa8
12760105434
133c5225a10
14228487800
1513d21153d
hexc03b7028

3225120808 has 96 divisors (see below), whose sum is σ = 7719069960. Its totient is φ = 1251694080.

The previous prime is 3225120793. The next prime is 3225120839. The reversal of 3225120808 is 8080215223.

It can be written as a sum of positive squares in 4 ways, for example, as 2203551364 + 1021569444 = 46942^2 + 31962^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3225120808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264118 + ... + 276058.

Almost surely, 23225120808 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 3225120808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859534980).

3225120808 is an abundant number, since it is smaller than the sum of its proper divisors (4493949152).

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

3225120808 is a wasteful number, since it uses less digits than its factorization.

3225120808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 3225120808 is about 56790.1471031727. The cubic root of 3225120808 is about 1477.4586298388.

The spelling of 3225120808 in words is "three billion, two hundred twenty-five million, one hundred twenty thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 182 196 212 364 371 392 424 637 689 728 742 1274 1378 1484 2548 2597 2756 2968 4823 5096 5194 5512 9646 10388 11941 19292 20776 23882 33761 38584 47764 67522 83587 95528 135044 155233 167174 270088 310466 334348 585109 620932 632873 668696 1086631 1170218 1241864 1265746 2173262 2340436 2531492 4346524 4430111 4680872 5062984 7606417 8227349 8693048 8860222 15212834 16454698 17720444 30425668 31010777 32909396 35440888 57591443 60851336 62021554 65818792 115182886 124043108 230365772 248086216 403140101 460731544 806280202 1612560404 3225120808