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2243243340 = 2232513979883
BaseRepresentation
bin1000010110110101…
…0010110101001100
312210100001120100200
42011231102311030
514043232241330
61010332253500
7106406153022
oct20555226514
95710046320
102243243340
11a51285a18
12527311290
13299992530
14173cd6712
15d1e0ea60
hex85b52d4c

2243243340 has 144 divisors (see below), whose sum is σ = 7404223008. Its totient is φ = 546435072.

The previous prime is 2243243333. The next prime is 2243243357. The reversal of 2243243340 is 433423422.

2243243340 is a `hidden beast` number, since 2 + 2 + 4 + 324 + 334 + 0 = 666.

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, 222039 + ... + 231921.

Almost surely, 22243243340 is an apocalyptic number.

2243243340 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 2243243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702111504).

2243243340 is an abundant number, since it is smaller than the sum of its proper divisors (5160979668).

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

2243243340 is a wasteful number, since it uses less digits than its factorization.

2243243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2243243340 is about 47362.8899033832. The cubic root of 2243243340 is about 1309.0577183557.

Adding to 2243243340 its reverse (433423422), we get a palindrome (2676666762).

The spelling of 2243243340 in words is "two billion, two hundred forty-three million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 260 291 388 390 468 485 582 585 780 873 970 1164 1170 1261 1455 1746 1940 2340 2522 2910 3492 3783 4365 5044 5820 6305 7566 8730 9883 11349 12610 15132 17460 18915 19766 22698 25220 29649 37830 39532 45396 49415 56745 59298 75660 88947 98830 113490 118596 128479 148245 177894 197660 226980 256958 296490 355788 385437 444735 513916 592980 642395 770874 889470 958651 1156311 1284790 1541748 1778940 1917302 1927185 2312622 2569580 2875953 3834604 3854370 4625244 4793255 5751906 5781555 7708740 8627859 9586510 11503812 11563110 12462463 14379765 17255718 19173020 23126220 24924926 28759530 34511436 37387389 43139295 49849852 57519060 62312315 74774778 86278590 112162167 124624630 149549556 172557180 186936945 224324334 249249260 373873890 448648668 560810835 747747780 1121621670 2243243340