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23406012420200 = 23523671324124083
BaseRepresentation
bin1010101001001101000110…
…00011100101000001101000
310001212121000020201202002022
411110212203003211001220
511031441003134421300
6121440323524524012
74634012543634614
oct524464303450150
9101777006652068
1023406012420200
1175044858aa423
1227602aa250608
13100a23cc79057
145acbdda3a344
152a8c9dc61285
hex1549a30e5068

23406012420200 has 96 divisors (see below), whose sum is σ = 54573646527360. Its totient is φ = 9335801510400.

The previous prime is 23406012420199. The next prime is 23406012420247. The reversal of 23406012420200 is 202421060432.

It is a happy number.

It is a super-2 number, since 2×234060124202002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23406012420200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 971877359 + ... + 971901441.

It is an arithmetic number, because the mean of its divisors is an integer number (568475484660).

Almost surely, 223406012420200 is an apocalyptic number.

23406012420200 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 23406012420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27286823263680).

23406012420200 is an abundant number, since it is smaller than the sum of its proper divisors (31167634107160).

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

23406012420200 is a wasteful number, since it uses less digits than its factorization.

23406012420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37707 (or 37698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 23406012420200 its reverse (202421060432), we get a palindrome (23608433480632).

The spelling of 23406012420200 in words is "twenty-three trillion, four hundred six billion, twelve million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 734 1468 1835 2936 3670 7340 9175 13241 14680 18350 24083 26482 36700 48166 52964 66205 73400 96332 105928 120415 132410 192664 240830 264820 331025 481660 529640 602075 662050 963320 1204150 1324100 2408300 2648200 4816600 4859447 8838461 9718894 17676922 19437788 24297235 35353844 38875576 44192305 48594470 70707688 88384610 97188940 121486175 176769220 194377880 220961525 242972350 318883003 353538440 441923050 485944700 637766006 883846100 971889400 1275532012 1594415015 1767692200 2551064024 3188830030 6377660060 7972075075 12755320120 15944150150 31888300300 63776600600 117030062101 234060124202 468120248404 585150310505 936240496808 1170300621010 2340601242020 2925751552525 4681202484040 5851503105050 11703006210100 23406012420200