Search a number
-
+
220132233312 = 25322961716229
BaseRepresentation
bin1100110100000011100…
…1110101000001100000
3210001012101122002202020
43031000321311001200
512101312322431222
6245043301421440
721622040052525
oct3150071650140
9701171562666
10220132233312
11853a29a8052
12367b5a0a880
13179b2214c74
14a923b8914c
155ad5b1065c
hex3340e75060

220132233312 has 96 divisors (see below), whose sum is σ = 581346914400. Its totient is φ = 72934084608.

The previous prime is 220132233289. The next prime is 220132233319. The reversal of 220132233312 is 213332231022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132233319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13556014 + ... + 13572242.

It is an arithmetic number, because the mean of its divisors is an integer number (6055697025).

Almost surely, 2220132233312 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 220132233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290673457200).

220132233312 is an abundant number, since it is smaller than the sum of its proper divisors (361214681088).

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

220132233312 is a wasteful number, since it uses less digits than its factorization.

220132233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17088 (or 17080 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220132233312 its reverse (213332231022), we get a palindrome (433464464334).

The spelling of 220132233312 in words is "two hundred twenty billion, one hundred thirty-two million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 617 687 916 1234 1374 1832 1851 2468 2748 3664 3702 4936 5496 7328 7404 9872 10992 14808 16229 19744 21984 29616 32458 48687 59232 64916 97374 129832 141293 194748 259664 282586 389496 423879 519328 565172 778992 847758 1130344 1557984 1695516 2260688 3391032 3716441 4521376 6782064 7432882 10013293 11149323 13564128 14865764 20026586 22298646 29731528 30039879 40053172 44597292 59463056 60079758 80106344 89194584 118926112 120159516 160212688 178389168 240319032 320425376 356778336 480638064 961276128 2293044097 4586088194 6879132291 9172176388 13758264582 18344352776 27516529164 36688705552 55033058328 73377411104 110066116656 220132233312