Search a number
-
+
221000201010984 = 23388722374640789
BaseRepresentation
bin110010001111111110011110…
…011110011111111100101000
31001222111102010222202101221110
4302033332132132133330220
5212431331402424322414
62102010031334310320
764356511000553343
oct6217763636377450
91058442128671843
10221000201010984
116446572800985a
12209533a01b83a0
1396412ca38a955
143c80676c9145a
151a83ac8145459
hexc8ff9e79ff28

221000201010984 has 64 divisors (see below), whose sum is σ = 553370769705600. Its totient is φ = 73550772349184.

The previous prime is 221000201010971. The next prime is 221000201011001. The reversal of 221000201010984 is 489010102000122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45300862 + ... + 49941650.

It is an arithmetic number, because the mean of its divisors is an integer number (8646418276650).

Almost surely, 2221000201010984 is an apocalyptic number.

221000201010984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221000201010984 is an abundant number, since it is smaller than the sum of its proper divisors (332370568694616).

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

221000201010984 is a wasteful number, since it uses less digits than its factorization.

221000201010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643922 (or 4643918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 221000201010984 in words is "two hundred twenty-one trillion, two hundred one million, ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 887 1774 2237 2661 3548 4474 5322 6711 7096 8948 10644 13422 17896 21288 26844 53688 1984219 3968438 4640789 5952657 7936876 9281578 11905314 13922367 15873752 18563156 23810628 27844734 37126312 47621256 55689468 111378936 4116379843 8232759686 10381444993 12349139529 16465519372 20762889986 24698279058 31144334979 32931038744 41525779972 49396558116 62288669958 83051559944 98793116232 124577339916 249154679832 9208341708791 18416683417582 27625025126373 36833366835164 55250050252746 73666733670328 110500100505492 221000201010984