Search a number
-
+
20232230312 = 23741431012029
BaseRepresentation
bin10010110101111011…
…110101010110101000
31221020000111210100102
4102311323311112220
5312413422332222
613143342524532
71314242056130
oct226573652650
957200453312
1020232230312
1186426260a8
123b07896748
131ba5838118
14d9d097ac0
157d633ed92
hex4b5ef55a8

20232230312 has 128 divisors (see below), whose sum is σ = 45917625600. Its totient is φ = 8176896000.

The previous prime is 20232230309. The next prime is 20232230341. The reversal of 20232230312 is 21303223202.

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, 9970514 + ... + 9972542.

It is an arithmetic number, because the mean of its divisors is an integer number (358731450).

Almost surely, 220232230312 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 20232230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958812800).

20232230312 is an abundant number, since it is smaller than the sum of its proper divisors (25685395288).

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

20232230312 is a wasteful number, since it uses less digits than its factorization.

20232230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20232230312 its reverse (21303223202), we get a palindrome (41535453514).

The spelling of 20232230312 in words is "twenty billion, two hundred thirty-two million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 43 56 82 86 101 164 172 202 287 301 328 344 404 574 602 707 808 1148 1204 1414 1763 2029 2296 2408 2828 3526 4058 4141 4343 5656 7052 8116 8282 8686 12341 14104 14203 16232 16564 17372 24682 28406 28987 30401 33128 34744 49364 56812 57974 60802 83189 87247 98728 113624 115948 121604 166378 174494 178063 204929 231896 243208 332756 348988 356126 409858 582323 610729 665512 697976 712252 819716 1164646 1221458 1246441 1424504 1434503 1639432 2329292 2442916 2492882 2869006 3577127 4658584 4885832 4985764 5738012 7154254 8402089 8811947 9971528 11476024 14308508 16804178 17623894 25039889 28617016 33608356 35247788 50079778 58814623 61683629 67216712 70495576 100159556 117629246 123367258 200319112 235258492 246734516 361289827 470516984 493469032 722579654 1445159308 2529028789 2890318616 5058057578 10116115156 20232230312