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221010200200 = 235219543110709
BaseRepresentation
bin1100110111010100111…
…1000000011010001000
3210010110120200102220101
43031311033000122020
512110112102401300
6245310343335144
721652560463666
oct3156517003210
9703416612811
10221010200200
1185803550619
12369bba514b4
1317ac20959ba
14a9a860bc36
155b37c38b6a
hex33753c0688

221010200200 has 96 divisors (see below), whose sum is σ = 541043496000. Its totient is φ = 83727993600.

The previous prime is 221010200141. The next prime is 221010200227. The reversal of 221010200200 is 2002010122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20632446 + ... + 20643154.

It is an arithmetic number, because the mean of its divisors is an integer number (5635869750).

Almost surely, 2221010200200 is an apocalyptic number.

221010200200 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 221010200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270521748000).

221010200200 is an abundant number, since it is smaller than the sum of its proper divisors (320033295800).

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

221010200200 is a wasteful number, since it uses less digits than its factorization.

221010200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16175 (or 16166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221010200200 its reverse (2002010122), we get a palindrome (223012210322).

The spelling of 221010200200 in words is "two hundred twenty-one billion, ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5431 10709 10862 21418 21724 27155 42836 43448 53545 54310 85672 103189 107090 108620 135775 203471 206378 214180 217240 267725 271550 406942 412756 428360 515945 535450 543100 813884 825512 1017355 1031890 1070900 1086200 1627768 2034710 2063780 2141800 2579725 4069420 4127560 5086775 5159450 8138840 10173550 10318900 20347100 20637800 40694200 58160579 116321158 232642316 290802895 465284632 581605790 1105051001 1163211580 1454014475 2210102002 2326423160 2908028950 4420204004 5525255005 5816057900 8840408008 11050510010 11632115800 22101020020 27626275025 44202040040 55252550050 110505100100 221010200200