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221332300000 = 25557316189
BaseRepresentation
bin1100111000100001101…
…1101110000011100000
3210011022000202210202121
43032020123232003200
512111242032100000
6245402331154024
721663551336320
oct3161033560340
9704260683677
10221332300000
11859593499a9
1236a8b8a5914
1317b43a308b6
14a9d92d5280
155b56160b1a
hex33886ee0e0

221332300000 has 144 divisors (see below), whose sum is σ = 622459222560. Its totient is φ = 75885120000.

The previous prime is 221332299997. The next prime is 221332300051. The reversal of 221332300000 is 3233122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 541906 + ... + 858094.

It is an arithmetic number, because the mean of its divisors is an integer number (4322633490).

Almost surely, 2221332300000 is an apocalyptic number.

221332300000 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 221332300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311229611280).

221332300000 is an abundant number, since it is smaller than the sum of its proper divisors (401126922560).

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

221332300000 is an frugal number, since it uses more digits than its factorization.

221332300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316231 (or 316203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 221332300000 its reverse (3233122), we get a palindrome (221335533122).

The spelling of 221332300000 in words is "two hundred twenty-one billion, three hundred thirty-two million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 316189 350000 632378 700000 1264756 1580945 2213323 2529512 3161890 4426646 5059024 6323780 7904725 8853292 10118048 11066615 12647560 15809450 17706584 22133230 25295120 31618900 35413168 39523625 44266460 50590240 55333075 63237800 70826336 79047250 88532920 110666150 126475600 158094500 177065840 197618125 221332300 252951200 276665375 316189000 354131680 395236250 442664600 553330750 632378000 790472500 885329200 988090625 1106661500 1264756000 1383326875 1580945000 1770658400 1976181250 2213323000 2766653750 3161890000 3952362500 4426646000 5533307500 6323780000 6916634375 7904725000 8853292000 11066615000 13833268750 15809450000 22133230000 27666537500 31618900000 44266460000 55333075000 110666150000 221332300000