Search a number
-
+
2143404224 = 2613231011109
BaseRepresentation
bin111111111000001…
…1100000011000000
312112101012012211122
41333300130003000
513342202413344
6552404331412
7104054430623
oct17760340300
95471165748
102143404224
119aa994355
124b99a3b68
132820a7030
14164947dba
15c828caee
hex7fc1c0c0

2143404224 has 112 divisors (see below), whose sum is σ = 4831323840. Its totient is φ = 936038400.

The previous prime is 2143404203. The next prime is 2143404233. The reversal of 2143404224 is 4224043412.

It is a happy number.

It is a super-2 number, since 2×21434042242 = 9188363334922084352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2143404193 and 2143404202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932182 + ... + 1933290.

It is an arithmetic number, because the mean of its divisors is an integer number (43136820).

Almost surely, 22143404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415661920).

2143404224 is an abundant number, since it is smaller than the sum of its proper divisors (2687919616).

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

2143404224 is a wasteful number, since it uses less digits than its factorization.

2143404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2143404224 is about 46296.9137632305. The cubic root of 2143404224 is about 1289.3416956441.

Adding to 2143404224 its reverse (4224043412), we get a palindrome (6367447636).

The spelling of 2143404224 in words is "two billion, one hundred forty-three million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 101 104 184 202 208 299 368 404 416 598 736 808 832 1109 1196 1313 1472 1616 2218 2323 2392 2626 3232 4436 4646 4784 5252 6464 8872 9292 9568 10504 14417 17744 18584 19136 21008 25507 28834 30199 35488 37168 42016 51014 57668 60398 70976 74336 84032 102028 112009 115336 120796 148672 204056 224018 230672 241592 331591 408112 448036 461344 483184 663182 816224 896072 922688 966368 1326364 1456117 1632448 1792144 1932736 2576207 2652728 2912234 3584288 5152414 5305456 5824468 7168576 10304828 10610912 11648936 20609656 21221824 23297872 33490691 41219312 46595744 66981382 82438624 93191488 133962764 164877248 267925528 535851056 1071702112 2143404224