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280228320 = 25325238461
BaseRepresentation
bin10000101100111…
…111000111100000
3201112022001222200
4100230333013200
51033214301240
643450133200
76641621121
oct2054770740
9645261880
10280228320
111341aa759
1279a21200
1346097598
1429308048
1519905930
hex10b3f1e0

280228320 has 144 divisors (see below), whose sum is σ = 997974432. Its totient is φ = 71470080.

The previous prime is 280228303. The next prime is 280228369. The reversal of 280228320 is 23822082.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2802283202 = 157055822660044800, which contains 22 as substring.

It is a congruent number.

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, 28890 + ... + 37350.

It is an arithmetic number, because the mean of its divisors is an integer number (6930378).

Almost surely, 2280228320 is an apocalyptic number.

280228320 is a gapful number since it is divisible by the number (20) 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 280228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498987216).

280228320 is an abundant number, since it is smaller than the sum of its proper divisors (717746112).

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

280228320 is a wasteful number, since it uses less digits than its factorization.

280228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 280228320 is about 16740.0215053625. The cubic root of 280228320 is about 654.3910351213.

The spelling of 280228320 in words is "two hundred eighty million, two hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 8461 11040 16560 16922 25383 33120 33844 42305 50766 67688 76149 84610 101532 126915 135376 152298 169220 194603 203064 253830 270752 304596 338440 380745 389206 406128 507660 583809 609192 676880 761490 778412 812256 973015 1015320 1167618 1218384 1353760 1522980 1556824 1751427 1946030 2030640 2335236 2436768 2919045 3045960 3113648 3502854 3892060 4061280 4670472 5838090 6091920 6227296 7005708 7784120 8757135 9340944 11676180 12183840 14011416 15568240 17514270 18681888 23352360 28022832 31136480 35028540 46704720 56045664 70057080 93409440 140114160 280228320