Search a number
-
+
23322410340 = 22359711933359
BaseRepresentation
bin10101101110000111…
…111011110101100100
32020012101020012102120
4111232013323311210
5340231014112330
614414132105540
71453644134265
oct255607736544
966171205376
1023322410340
119988990099
12462a7652b0
132278b05508
1411b365696c
15917798c10
hex56e1fbd64

23322410340 has 96 divisors (see below), whose sum is σ = 66050933760. Its totient is φ = 6148202496.

The previous prime is 23322410323. The next prime is 23322410467. The reversal of 23322410340 is 4301422332.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 23322410340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6941581 + ... + 6944939.

It is an arithmetic number, because the mean of its divisors is an integer number (688030560).

Almost surely, 223322410340 is an apocalyptic number.

23322410340 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 23322410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33025466880).

23322410340 is an abundant number, since it is smaller than the sum of its proper divisors (42728523420).

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

23322410340 is a wasteful number, since it uses less digits than its factorization.

23322410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23322410340 its reverse (4301422332), we get a palindrome (27623832672).

The spelling of 23322410340 in words is "twenty-three billion, three hundred twenty-two million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1193 1455 1940 2386 2910 3359 3579 4772 5820 5965 6718 7158 10077 11930 13436 14316 16795 17895 20154 23860 33590 35790 40308 50385 67180 71580 100770 115721 201540 231442 325823 347163 462884 578605 651646 694326 977469 1157210 1303292 1388652 1629115 1735815 1954938 2314420 3258230 3471630 3909876 4007287 4887345 6516460 6943260 8014574 9774690 12021861 16029148 19549380 20036435 24043722 40072870 48087444 60109305 80145740 120218610 240437220 388706839 777413678 1166120517 1554827356 1943534195 2332241034 3887068390 4664482068 5830602585 7774136780 11661205170 23322410340