Search a number
-
+
14220263600 = 2452474391723
BaseRepresentation
bin11010011111001100…
…00000000010110000
31100201000221020102122
431033212000002300
5213110341413400
610311021333412
71012251150314
oct151746000260
940630836378
1014220263600
116037a71574
12290a407268
13145813c57a
1498c851b44
15583641685
hex34f9800b0

14220263600 has 120 divisors (see below), whose sum is σ = 34990855680. Its totient is φ = 5551176960.

The previous prime is 14220263599. The next prime is 14220263653. The reversal of 14220263600 is 636202241.

It is a self number, because there is not a number n which added to its sum of digits gives 14220263600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8252339 + ... + 8254061.

It is an arithmetic number, because the mean of its divisors is an integer number (291590464).

Almost surely, 214220263600 is an apocalyptic number.

14220263600 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 14220263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495427840).

14220263600 is an abundant number, since it is smaller than the sum of its proper divisors (20770592080).

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

14220263600 is a wasteful number, since it uses less digits than its factorization.

14220263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14220263600 its reverse (636202241), we get a palindrome (14856465841).

The spelling of 14220263600 in words is "fourteen billion, two hundred twenty million, two hundred sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 439 470 752 878 940 1175 1723 1756 1880 2195 2350 3446 3512 3760 4390 4700 6892 7024 8615 8780 9400 10975 13784 17230 17560 18800 20633 21950 27568 34460 35120 41266 43075 43900 68920 80981 82532 86150 87800 103165 137840 161962 165064 172300 175600 206330 323924 330128 344600 404905 412660 515825 647848 689200 756397 809810 825320 1031650 1295696 1512794 1619620 1650640 2024525 2063300 3025588 3239240 3781985 4049050 4126600 6051176 6478480 7563970 8098100 8253200 12102352 15127940 16196200 18909925 30255880 32392400 35550659 37819850 60511760 71101318 75639700 142202636 151279400 177753295 284405272 302558800 355506590 568810544 711013180 888766475 1422026360 1777532950 2844052720 3555065900 7110131800 14220263600