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20400023200 = 255259942571
BaseRepresentation
bin10010111111111011…
…111010011010100000
31221122201020112220211
4102333323322122200
5313234401220300
613212135143504
71321350223204
oct227773723240
957581215824
1020400023200
118719310407
123b53b14b94
131c0152695b
14db7494b04
157e5e364ba
hex4bfefa6a0

20400023200 has 72 divisors (see below), whose sum is σ = 49885869600. Its totient is φ = 8146195200.

The previous prime is 20400023129. The next prime is 20400023207. The reversal of 20400023200 is 232000402.

It is not an unprimeable number, because it can be changed into a prime (20400023207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457915 + ... + 500485.

It is an arithmetic number, because the mean of its divisors is an integer number (692859300).

Almost surely, 220400023200 is an apocalyptic number.

20400023200 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 20400023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942934800).

20400023200 is an abundant number, since it is smaller than the sum of its proper divisors (29485846400).

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

20400023200 is a wasteful number, since it uses less digits than its factorization.

20400023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43190 (or 43177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 20400023200 its reverse (232000402), we get a palindrome (20632023602).

The spelling of 20400023200 in words is "twenty billion, four hundred million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 599 800 1198 2396 2995 4792 5990 9584 11980 14975 19168 23960 29950 42571 47920 59900 85142 95840 119800 170284 212855 239600 340568 425710 479200 681136 851420 1064275 1362272 1702840 2128550 3405680 4257100 6811360 8514200 17028400 25500029 34056800 51000058 102000116 127500145 204000232 255000290 408000464 510000580 637500725 816000928 1020001160 1275001450 2040002320 2550002900 4080004640 5100005800 10200011600 20400023200