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10220902320 = 2435313359379
BaseRepresentation
bin10011000010011011…
…01001011110110000
3222101022102122010210
421201031221132300
5131413022333240
64410113224120
7511166144016
oct114115513660
928338378123
1010220902320
114375484212
121b92b62040
13c6b6b27c5
146cd6268b6
153ec495780
hex2613697b0

10220902320 has 160 divisors (see below), whose sum is σ = 31958668800. Its totient is φ = 2702149632.

The previous prime is 10220902301. The next prime is 10220902379. The reversal of 10220902320 is 2320902201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26967891 + ... + 26968269.

It is an arithmetic number, because the mean of its divisors is an integer number (199741680).

Almost surely, 210220902320 is an apocalyptic number.

10220902320 is a gapful number since it is divisible by the number (10) 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 10220902320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979334400).

10220902320 is an abundant number, since it is smaller than the sum of its proper divisors (21737766480).

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

10220902320 is a wasteful number, since it uses less digits than its factorization.

10220902320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 10220902320 in words is "ten billion, two hundred twenty million, nine hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 359 379 626 718 758 939 1077 1137 1252 1436 1516 1565 1795 1878 1895 2154 2274 2504 2872 3032 3130 3590 3756 3790 4308 4548 4695 5008 5385 5685 5744 6064 6260 7180 7512 7580 8616 9096 9390 10770 11370 12520 14360 15024 15160 17232 18192 18780 21540 22740 25040 28720 30320 37560 43080 45480 75120 86160 90960 112367 118627 136061 224734 237254 272122 337101 355881 408183 449468 474508 544244 561835 593135 674202 680305 711762 816366 898936 949016 1088488 1123670 1186270 1348404 1360610 1423524 1632732 1685505 1779405 1797872 1898032 2040915 2176976 2247340 2372540 2696808 2721220 2847048 3265464 3371010 3558810 4081830 4494680 4745080 5393616 5442440 5694096 6530928 6742020 7117620 8163660 8989360 9490160 10884880 13484040 14235240 16327320 26968080 28470480 32654640 42587093 85174186 127761279 170348372 212935465 255522558 340696744 425870930 511045116 638806395 681393488 851741860 1022090232 1277612790 1703483720 2044180464 2555225580 3406967440 5110451160 10220902320