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14222443300 = 225213234091163
BaseRepresentation
bin11010011111011100…
…10100001100100100
31100201012000222102021
431033232110030210
5213111421141200
610311140152524
71012305526162
oct151756241444
940635028367
1014222443300
11603922017a
12290b098744
131458723730
1498cc5c232
1558392241a
hex34fb94324

14222443300 has 144 divisors (see below), whose sum is σ = 34796522880. Its totient is φ = 5006453760.

The previous prime is 14222443297. The next prime is 14222443381. The reversal of 14222443300 is 334422241.

It is a happy number.

14222443300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 12228519 + ... + 12229681.

It is an arithmetic number, because the mean of its divisors is an integer number (241642520).

Almost surely, 214222443300 is an apocalyptic number.

14222443300 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 14222443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398261440).

14222443300 is an abundant number, since it is smaller than the sum of its proper divisors (20574079580).

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

14222443300 is a wasteful number, since it uses less digits than its factorization.

14222443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14222443300 its reverse (334422241), we get a palindrome (14556865541).

The spelling of 14222443300 in words is "fourteen billion, two hundred twenty-two million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 409 460 575 598 650 818 1150 1163 1196 1300 1495 1636 2045 2300 2326 2990 4090 4652 5317 5815 5980 7475 8180 9407 10225 10634 11630 14950 15119 18814 20450 21268 23260 26585 26749 29075 29900 30238 37628 40900 47035 53170 53498 58150 60476 75595 94070 106340 106996 116300 122291 132925 133745 151190 188140 235175 244582 265850 267490 302380 347737 377975 470350 475667 489164 531700 534980 611455 668725 695474 755950 940700 951334 1222910 1337450 1390948 1511900 1738685 1902668 2378335 2445820 2674900 3057275 3477370 4756670 6114550 6183671 6954740 8693425 9513340 10940341 11891675 12229100 12367342 17386850 21880682 23783350 24734684 30918355 34773700 43761364 47566700 54701705 61836710 109403410 123673420 142224433 154591775 218806820 273508525 284448866 309183550 547017050 568897732 618367100 711122165 1094034100 1422244330 2844488660 3555610825 7111221650 14222443300