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3248075220 = 22351323110333
BaseRepresentation
bin1100000110011001…
…1011000111010100
322101100211022120020
43001212123013110
523123001401340
61254145305140
7143330120025
oct30146330724
98340738506
103248075220
1114174a9a95
127679351b0
133c9c01b00
1422b540c4c
151402479d0
hexc199b1d4

3248075220 has 144 divisors (see below), whose sum is σ = 10166671872. Its totient is φ = 773660160.

The previous prime is 3248075191. The next prime is 3248075231. The reversal of 3248075220 is 225708423.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309174 + ... + 319506.

It is an arithmetic number, because the mean of its divisors is an integer number (70601888).

Almost surely, 23248075220 is an apocalyptic number.

3248075220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3248075220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083335936).

3248075220 is an abundant number, since it is smaller than the sum of its proper divisors (6918596652).

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

3248075220 is a wasteful number, since it uses less digits than its factorization.

3248075220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 3248075220 is about 56991.8873174069. The cubic root of 3248075220 is about 1480.9555583455.

The spelling of 3248075220 in words is "three billion, two hundred forty-eight million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 338 372 390 403 465 507 620 676 780 806 845 930 1014 1209 1612 1690 1860 2015 2028 2418 2535 3380 4030 4836 5070 5239 6045 8060 10140 10333 10478 12090 15717 20666 20956 24180 26195 30999 31434 41332 51665 52390 61998 62868 78585 103330 104780 123996 134329 154995 157170 206660 268658 309990 314340 320323 402987 537316 619980 640646 671645 805974 960969 1281292 1343290 1601615 1611948 1746277 1921938 2014935 2686580 3203230 3492554 3843876 4029870 4164199 4804845 5238831 6406460 6985108 8059740 8328398 8731385 9609690 10477662 12492597 16656796 17462770 19219380 20820995 20955324 24985194 26194155 34925540 41641990 49970388 52388310 54134587 62462985 83283980 104776620 108269174 124925970 162403761 216538348 249851940 270672935 324807522 541345870 649615044 812018805 1082691740 1624037610 3248075220