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221043243300 = 2235211149449549
BaseRepresentation
bin1100110111011100110…
…1000011100100100100
3210010112212212012111220
43031313031003210210
512110144032241200
6245313523500340
721653441365365
oct3156715034444
9703485765456
10221043243300
118582016a370
1236a0ab276b0
1317ac8b94b29
14a9acb6db6c
155b3aab44a0
hex3377343924

221043243300 has 144 divisors (see below), whose sum is σ = 702376920000. Its totient is φ = 53226483200.

The previous prime is 221043243299. The next prime is 221043243329. The reversal of 221043243300 is 3342340122.

221043243300 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 47 ways as a sum of consecutive naturals, for example, 266926 + ... + 716474.

It is an arithmetic number, because the mean of its divisors is an integer number (4877617500).

Almost surely, 2221043243300 is an apocalyptic number.

221043243300 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 221043243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351188460000).

221043243300 is an abundant number, since it is smaller than the sum of its proper divisors (481333676700).

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

221043243300 is a wasteful number, since it uses less digits than its factorization.

221043243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449726 (or 449719 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 221043243300 its reverse (3342340122), we get a palindrome (224385583422).

The spelling of 221043243300 in words is "two hundred twenty-one billion, forty-three million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 149 150 165 220 275 298 300 330 447 550 596 660 745 825 894 1100 1490 1639 1650 1788 2235 2980 3278 3300 3725 4470 4917 6556 7450 8195 8940 9834 11175 14900 16390 19668 22350 24585 32780 40975 44700 49170 81950 98340 122925 163900 245850 449549 491700 899098 1348647 1798196 2247745 2697294 4495490 4945039 5394588 6743235 8990980 9890078 11238725 13486470 14835117 19780156 22477450 24725195 26972940 29670234 33716175 44954900 49450390 59340468 66982801 67432350 74175585 98900780 123625975 133965602 134864700 148351170 200948403 247251950 267931204 296702340 334914005 370877925 401896806 494503900 669828010 736810811 741755850 803793612 1004742015 1339656020 1473621622 1483511700 1674570025 2009484030 2210432433 2947243244 3349140050 3684054055 4018968060 4420864866 5023710075 6698280100 7368108110 8841729732 10047420150 11052162165 14736216220 18420270275 20094840300 22104324330 36840540550 44208648660 55260810825 73681081100 110521621650 221043243300