Search a number
-
+
2203000320 = 2935793631
BaseRepresentation
bin1000001101001111…
…0001111000000000
312200112100000022110
42003103301320000
514002432002240
61002333535320
7105410123313
oct20323617000
95615300273
102203000320
11a30599824
12515944540
132915421b1
1416c81c97a
15cd610c80
hex834f1e00

2203000320 has 160 divisors (see below), whose sum is σ = 7133829120. Its totient is φ = 579870720.

The previous prime is 2203000307. The next prime is 2203000363. The reversal of 2203000320 is 230003022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2203000296 and 2203000305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604905 + ... + 608535.

It is an arithmetic number, because the mean of its divisors is an integer number (44586432).

Almost surely, 22203000320 is an apocalyptic number.

2203000320 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 2203000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566914560).

2203000320 is an abundant number, since it is smaller than the sum of its proper divisors (4930828800).

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

2203000320 is an equidigital number, since it uses as much as digits as its factorization.

2203000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2203000320 is about 46936.1302196932. The cubic root of 2203000320 is about 1301.1824192696.

Adding to 2203000320 its reverse (230003022), we get a palindrome (2433003342).

The spelling of 2203000320 in words is "two billion, two hundred three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 256 316 320 384 395 474 480 512 632 640 768 790 948 960 1185 1264 1280 1536 1580 1896 1920 2370 2528 2560 3160 3631 3792 3840 4740 5056 6320 7262 7584 7680 9480 10112 10893 12640 14524 15168 18155 18960 20224 21786 25280 29048 30336 36310 37920 40448 43572 50560 54465 58096 60672 72620 75840 87144 101120 108930 116192 121344 145240 151680 174288 202240 217860 232384 286849 290480 303360 348576 435720 464768 573698 580960 606720 697152 860547 871440 929536 1147396 1161920 1394304 1434245 1721094 1742880 1859072 2294792 2323840 2788608 2868490 3442188 3485760 4302735 4589584 4647680 5577216 5736980 6884376 6971520 8605470 9179168 9295360 11473960 13768752 13943040 17210940 18358336 22947920 27537504 27886080 34421880 36716672 45895840 55075008 68843760 73433344 91791680 110150016 137687520 146866688 183583360 220300032 275375040 367166720 440600064 550750080 734333440 1101500160 2203000320