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20226004600 = 23524316714083
BaseRepresentation
bin10010110101100100…
…000101011001111000
31221012120210111021111
4102311210011121320
5312410324121400
613143001250104
71314135126304
oct226544053170
957176714244
1020226004600
11863a06368a
123b05793934
131ba4468479
14d9c316d04
157d5a103ba
hex4b5905678

20226004600 has 96 divisors (see below), whose sum is σ = 48410651520. Its totient is φ = 7854376320.

The previous prime is 20226004549. The next prime is 20226004607. The reversal of 20226004600 is 640062202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20226004607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429159 + ... + 1443241.

It is an arithmetic number, because the mean of its divisors is an integer number (504277620).

Almost surely, 220226004600 is an apocalyptic number.

20226004600 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 20226004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24205325760).

20226004600 is an abundant number, since it is smaller than the sum of its proper divisors (28184646920).

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

20226004600 is a wasteful number, since it uses less digits than its factorization.

20226004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20226004600 its reverse (640062202), we get a palindrome (20866066802).

The spelling of 20226004600 in words is "twenty billion, two hundred twenty-six million, four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 167 172 200 215 334 344 430 668 835 860 1075 1336 1670 1720 2150 3340 4175 4300 6680 7181 8350 8600 14083 14362 16700 28166 28724 33400 35905 56332 57448 70415 71810 112664 140830 143620 179525 281660 287240 352075 359050 563320 605569 704150 718100 1211138 1408300 1436200 2351861 2422276 2816600 3027845 4703722 4844552 6055690 9407444 11759305 12111380 15139225 18814888 23518610 24222760 30278450 47037220 58796525 60556900 94074440 101130023 117593050 121113800 202260046 235186100 404520092 470372200 505650115 809040184 1011300230 2022600460 2528250575 4045200920 5056501150 10113002300 20226004600