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221022300200 = 235213367231631
BaseRepresentation
bin1100110111010111110…
…1001010100000101000
3210010111102110011222112
43031311331022200220
512110123202101300
6245311454541452
721653065360652
oct3156575124050
9703442404875
10221022300200
118580a365519
1236a03b07888
1317ac4741370
14a9aa07b6d2
155b38d28e35
hex3375f4a828

221022300200 has 96 divisors (see below), whose sum is σ = 554916149760. Its totient is φ = 81385516800.

The previous prime is 221022300181. The next prime is 221022300211. The reversal of 221022300200 is 2003220122.

221022300200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 838385 + ... + 1070015.

It is an arithmetic number, because the mean of its divisors is an integer number (5780376560).

Almost surely, 2221022300200 is an apocalyptic number.

221022300200 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 221022300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277458074880).

221022300200 is an abundant number, since it is smaller than the sum of its proper divisors (333893849560).

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

221022300200 is a wasteful number, since it uses less digits than its factorization.

221022300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232027 (or 232018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 221022300200 its reverse (2003220122), we get a palindrome (223025520322).

The spelling of 221022300200 in words is "two hundred twenty-one billion, twenty-two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 367 520 650 734 1300 1468 1835 2600 2936 3670 4771 7340 9175 9542 14680 18350 19084 23855 36700 38168 47710 73400 95420 119275 190840 231631 238550 463262 477100 926524 954200 1158155 1853048 2316310 3011203 4632620 5790775 6022406 9265240 11581550 12044812 15056015 23163100 24089624 30112030 46326200 60224060 75280075 85008577 120448120 150560150 170017154 301120300 340034308 425042885 602240600 680068616 850085770 1105111501 1700171540 2125214425 2210223002 3400343080 4250428850 4420446004 5525557505 8500857700 8840892008 11051115010 17001715400 22102230020 27627787525 44204460040 55255575050 110511150100 221022300200