Search a number
-
+
23114414420 = 22523671136637
BaseRepresentation
bin10101100001101110…
…011111100101010100
32012122212211220122222
4111201232133211110
5334314242230140
614341342041512
71445540165216
oct254156374524
965585756588
1023114414420
119891536739
124590b79298
1322449ab8c6
141193b925b6
159043b05b5
hex561b9f954

23114414420 has 96 divisors (see below), whose sum is σ = 51869438208. Its totient is φ = 8633382912.

The previous prime is 23114414377. The next prime is 23114414467. The reversal of 23114414420 is 2441441132.

It is a self number, because there is not a number n which added to its sum of digits gives 23114414420.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3479342 + ... + 3485978.

It is an arithmetic number, because the mean of its divisors is an integer number (540306648).

Almost surely, 223114414420 is an apocalyptic number.

23114414420 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 23114414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25934719104).

23114414420 is an abundant number, since it is smaller than the sum of its proper divisors (28755023788).

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

23114414420 is a wasteful number, since it uses less digits than its factorization.

23114414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 23114414420 its reverse (2441441132), we get a palindrome (25555855552).

The spelling of 23114414420 in words is "twenty-three billion, one hundred fourteen million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 67 92 113 115 134 226 230 268 335 452 460 565 670 1130 1340 1541 2260 2599 3082 5198 6164 6637 7571 7705 10396 12995 13274 15142 15410 25990 26548 30284 30820 33185 37855 51980 66370 75710 132740 151420 152651 174133 305302 348266 444679 610604 696532 749981 763255 870665 889358 1499962 1526510 1741330 1778716 2223395 2999924 3053020 3482660 3749905 4446790 7499810 8893580 10227617 14999620 17249563 20455234 34499126 40910468 50248727 51138085 68998252 86247815 100497454 102276170 172495630 200994908 204552340 251243635 344991260 502487270 1004974540 1155720721 2311441442 4622882884 5778603605 11557207210 23114414420