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221332000200 = 233521263729191
BaseRepresentation
bin1100111000100001101…
…0100100110111001000
3210011022000012120111220
43032020122210313020
512111241443001300
6245402320522040
721663545650263
oct3161032446710
9704260176456
10221332000200
1185959164733
1236a8b780320
1317b439572bc
14a9d9257cda
155b56101da0
hex33886a4dc8

221332000200 has 96 divisors (see below), whose sum is σ = 686207002560. Its totient is φ = 59015174400.

The previous prime is 221332000193. The next prime is 221332000237. The reversal of 221332000200 is 2000233122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221332000200.

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, 7567605 + ... + 7596795.

It is an arithmetic number, because the mean of its divisors is an integer number (7147989610).

Almost surely, 2221332000200 is an apocalyptic number.

221332000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221332000200 is an abundant number, since it is smaller than the sum of its proper divisors (464875002360).

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

221332000200 is a wasteful number, since it uses less digits than its factorization.

221332000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41847 (or 41838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221332000200 its reverse (2000233122), we get a palindrome (223332233322).

The spelling of 221332000200 in words is "two hundred twenty-one billion, three hundred thirty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 12637 25274 29191 37911 50548 58382 63185 75822 87573 101096 116764 126370 145955 151644 175146 189555 233528 252740 291910 303288 315925 350292 379110 437865 505480 583820 631850 700584 729775 758220 875730 947775 1167640 1263700 1459550 1516440 1751460 1895550 2189325 2527400 2919100 3502920 3791100 4378650 5838200 7582200 8757300 17514600 368886667 737773334 1106660001 1475546668 1844433335 2213320002 2951093336 3688866670 4426640004 5533300005 7377733340 8853280008 9222166675 11066600010 14755466680 18444333350 22133200020 27666500025 36888666700 44266400040 55333000050 73777333400 110666000100 221332000200