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200221010012200 = 23528994391191691
BaseRepresentation
bin101101100001100110010110…
…001011011010100000101000
3222020220221102102221221120211
4231201212112023122200220
5202220410112030342300
61545500132345030504
760113330164366432
oct5541462613324050
9866827372857524
10200221010012200
11588842874456a1
121a55820b185434
1387949b62ba128
143762a6a1c3652
15182331bc8c4ba
hexb619962da828

200221010012200 has 96 divisors (see below), whose sum is σ = 470794608288000. Its totient is φ = 79180078348800.

The previous prime is 200221010012143. The next prime is 200221010012209. The reversal of 200221010012200 is 2210010122002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200221010012209) 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, 167418355 + ... + 168610045.

It is an arithmetic number, because the mean of its divisors is an integer number (4904110503000).

Almost surely, 2200221010012200 is an apocalyptic number.

200221010012200 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 200221010012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235397304144000).

200221010012200 is an abundant number, since it is smaller than the sum of its proper divisors (270573598275800).

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

200221010012200 is a wasteful number, since it uses less digits than its factorization.

200221010012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201235 (or 1201226 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200221010012200 its reverse (2210010122002), we get a palindrome (202431020134202).

The spelling of 200221010012200 in words is "two hundred trillion, two hundred twenty-one billion, ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 9439 17800 18878 37756 47195 75512 94390 188780 235975 377560 471950 840071 943900 1191691 1680142 1887800 2383382 3360284 4200355 4766764 5958455 6720568 8400710 9533528 11916910 16801420 21001775 23833820 29792275 33602840 42003550 47667640 59584550 84007100 106060499 119169100 168014200 212120998 238338200 424241996 530302495 848483992 1060604990 2121209980 2651512475 4242419960 5303024950 10606049900 11248371349 21212099800 22496742698 44993485396 56241856745 89986970792 112483713490 224967426980 281209283725 449934853960 562418567450 1001105050061 1124837134900 2002210100122 2249674269800 4004420200244 5005525250305 8008840400488 10011050500610 20022101001220 25027626251525 40044202002440 50055252503050 100110505006100 200221010012200