Search a number
-
+
9002808220 = 2257261732063
BaseRepresentation
bin10000110001001101…
…11111001110011100
3212020102101001011111
420120212333032130
5121414204330340
64045201231404
7436045415200
oct103046771634
925212331144
109002808220
1138aa93a07a
1218b3032564
13b06224573
14615946b00
1537a583aea
hex2189bf39c

9002808220 has 144 divisors (see below), whose sum is σ = 22670299008. Its totient is φ = 2993034240.

The previous prime is 9002808203. The next prime is 9002808223. The reversal of 9002808220 is 228082009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002808223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4362909 + ... + 4364971.

It is an arithmetic number, because the mean of its divisors is an integer number (157432632).

Almost surely, 29002808220 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 9002808220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335149504).

9002808220 is an abundant number, since it is smaller than the sum of its proper divisors (13667490788).

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

9002808220 is a wasteful number, since it uses less digits than its factorization.

9002808220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 9002808220 is about 94883.1292696441. The cubic root of 9002808220 is about 2080.3001462205.

The spelling of 9002808220 in words is "nine billion, two million, eight hundred eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 73 98 122 140 146 196 244 245 292 305 365 427 490 511 610 730 854 980 1022 1220 1460 1708 2044 2063 2135 2555 2989 3577 4126 4270 4453 5110 5978 7154 8252 8540 8906 10220 10315 11956 14308 14441 14945 17812 17885 20630 22265 28882 29890 31171 35770 41260 44530 57764 59780 62342 71540 72205 89060 101087 124684 125843 144410 150599 155855 202174 218197 251686 288820 301198 311710 404348 436394 503372 505435 602396 623420 629215 752995 872788 880901 1010870 1054193 1090985 1258430 1505990 1761802 2021740 2108386 2181970 2516860 3011980 3523604 4216772 4363940 4404505 5270965 6166307 7379351 8809010 9186539 10541930 12332614 14758702 17618020 18373078 21083860 24665228 29517404 30831535 36746156 36896755 45932695 61663070 64305773 73793510 91865390 123326140 128611546 147587020 183730780 257223092 321528865 450140411 643057730 900280822 1286115460 1800561644 2250702055 4501404110 9002808220