Search a number
-
+
22243133340 = 223255912171721
BaseRepresentation
bin10100101101110010…
…110100011110011100
32010102011101020201100
4110231302310132130
5331023220231330
614115055313100
71415130341151
oct245562643634
963364336640
1022243133340
11948473a32a
12438921b790
13213632c07c
141110190228
158a2b58060
hex52dcb479c

22243133340 has 144 divisors (see below), whose sum is σ = 68710692960. Its totient is φ = 5822791680.

The previous prime is 22243133329. The next prime is 22243133347. The reversal of 22243133340 is 4333134222.

22243133340 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 313 + 3 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22243133347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12923680 + ... + 12925400.

It is an arithmetic number, because the mean of its divisors is an integer number (477157590).

Almost surely, 222243133340 is an apocalyptic number.

22243133340 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 22243133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34355346480).

22243133340 is an abundant number, since it is smaller than the sum of its proper divisors (46467559620).

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

22243133340 is a wasteful number, since it uses less digits than its factorization.

22243133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22243133340 its reverse (4333134222), we get a palindrome (26576267562).

The spelling of 22243133340 in words is "twenty-two billion, two hundred forty-three million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1217 1721 1770 2124 2434 2655 3442 3540 3651 4868 5163 5310 6085 6884 7302 8605 10326 10620 10953 12170 14604 15489 17210 18255 20652 21906 24340 25815 30978 34420 36510 43812 51630 54765 61956 71803 73020 77445 101539 103260 109530 143606 154890 203078 215409 219060 287212 304617 309780 359015 406156 430818 507695 609234 646227 718030 861636 913851 1015390 1077045 1218468 1292454 1436060 1523085 1827702 2030780 2094457 2154090 2584908 3046170 3231135 3655404 4188914 4308180 4569255 6092340 6283371 6462270 8377828 9138510 10472285 12566742 12924540 18277020 18850113 20944570 25133484 31416855 37700226 41889140 62833710 75400452 94250565 123572963 125667420 188501130 247145926 370718889 377002260 494291852 617864815 741437778 1112156667 1235729630 1482875556 1853594445 2224313334 2471459260 3707188890 4448626668 5560783335 7414377780 11121566670 22243133340