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14222241000 = 23325311197561
BaseRepresentation
bin11010011111011011…
…00010110011101000
31100201011122200220200
431033231202303220
5213111343203000
610311131552200
71012304024322
oct151755426350
940634580820
1014222241000
1160390a2190
12290abbb660
131458682626
1498cc08612
155838d2500
hex34fb62ce8

14222241000 has 384 divisors, whose sum is σ = 55208649600. Its totient is φ = 3265920000.

The previous prime is 14222240959. The next prime is 14222241001. The reversal of 14222241000 is 14222241.

14222241000 is a `hidden beast` number, since 1 + 422 + 2 + 241 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14222241001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1877220 + ... + 1884780.

It is an arithmetic number, because the mean of its divisors is an integer number (143772525).

Almost surely, 214222241000 is an apocalyptic number.

14222241000 is a gapful number since it is divisible by the number (10) 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 14222241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27604324800).

14222241000 is an abundant number, since it is smaller than the sum of its proper divisors (40986408600).

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

14222241000 is a wasteful number, since it uses less digits than its factorization.

14222241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14222241000 its reverse (14222241), we get a palindrome (14236463241).

14222241000 divided by its reverse (14222241) gives a cube (1000 = 103).

It can be divided in two parts, 1422 and 2241000, that added together give a palindrome (2242422).

The spelling of 14222241000 in words is "fourteen billion, two hundred twenty-two million, two hundred forty-one thousand".