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221000000200 = 23527643245501
BaseRepresentation
bin1100110111010010100…
…0000110001011001000
3210010102212111020010121
43031310220012023020
512110102000001300
6245305340553024
721652405002250
oct3156450061310
9703385436117
10221000000200
11857a8814171
12369b8552774
1317abcc340b5
14a9a7114960
155b36dc181a
hex3374a062c8

221000000200 has 96 divisors (see below), whose sum is σ = 588144231360. Its totient is φ = 75653280000.

The previous prime is 221000000197. The next prime is 221000000231. The reversal of 221000000200 is 2000000122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777450 + ... + 1022950.

It is an arithmetic number, because the mean of its divisors is an integer number (6126502410).

Almost surely, 2221000000200 is an apocalyptic number.

221000000200 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 221000000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294072115680).

221000000200 is an abundant number, since it is smaller than the sum of its proper divisors (367144231160).

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

221000000200 is a wasteful number, since it uses less digits than its factorization.

221000000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246167 (or 246158 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 221000000200 its reverse (2000000122), we get a palindrome (223000000322).

The spelling of 221000000200 in words is "two hundred twenty-one billion, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 643 700 1286 1400 2572 3215 4501 5144 6430 9002 12860 16075 18004 22505 25720 32150 36008 45010 64300 90020 112525 128600 180040 225050 245501 450100 491002 900200 982004 1227505 1718507 1964008 2455010 3437014 4910020 6137525 6874028 8592535 9820040 12275050 13748056 17185070 24550100 34370140 42962675 49100200 68740280 85925350 157857143 171850700 315714286 343701400 631428572 789285715 1105000001 1262857144 1578571430 2210000002 3157142860 3946428575 4420000004 5525000005 6314285720 7892857150 8840000008 11050000010 15785714300 22100000020 27625000025 31571428600 44200000040 55250000050 110500000100 221000000200