Search a number
-
+
23312232423204 = 223231092393242279
BaseRepresentation
bin1010100110011110011010…
…10101010001111100100100
310001112121221120010021220020
411103033031111101330210
511023421423000020304
6121325254114035140
74624152565052634
oct523171525217444
9101477846107806
1023312232423204
1174787314aa67a
122746097578ab0
131001445ca427a
145a8464ad66c4
152a6610b1a5d9
hex1533cd551f24

23312232423204 has 96 divisors (see below), whose sum is σ = 57520641024000. Its totient is φ = 7333877206656.

The previous prime is 23312232423203. The next prime is 23312232423253. The reversal of 23312232423204 is 40232423221332.

It is not an unprimeable number, because it can be changed into a prime (23312232423203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5568937 + ... + 8811215.

It is an arithmetic number, because the mean of its divisors is an integer number (599173344000).

Almost surely, 223312232423204 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 23312232423204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28760320512000).

23312232423204 is an abundant number, since it is smaller than the sum of its proper divisors (34208408600796).

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

23312232423204 is a wasteful number, since it uses less digits than its factorization.

23312232423204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242657 (or 3242655 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 23312232423204 its reverse (40232423221332), we get a palindrome (63544655644536).

The spelling of 23312232423204 in words is "twenty-three trillion, three hundred twelve billion, two hundred thirty-two million, four hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 109 138 218 239 276 327 436 478 654 717 956 1308 1434 2507 2868 5014 5497 7521 10028 10994 15042 16491 21988 26051 30084 32982 52102 65964 78153 104204 156306 312612 599173 1198346 1797519 2396692 3242279 3595038 6484558 7190076 9726837 12969116 19453674 38907348 74572417 149144834 223717251 298289668 353408411 447434502 706816822 774904681 894869004 1060225233 1413633644 1549809362 2120450466 2324714043 3099618724 4240900932 4649428086 8128393453 9298856172 16256786906 17822807663 24385180359 32513573812 35645615326 48770360718 53468422989 71291230652 84464610229 97540721436 106936845978 168929220458 213873691956 253393830687 337858440916 506787661374 1013575322748 1942686035267 3885372070534 5828058105801 7770744141068 11656116211602 23312232423204