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14307229224 = 233211311811489
BaseRepresentation
bin11010101001100011…
…01111111000101000
31100221002120112211200
431110301233320220
5213300122313344
610323405324200
71014355304361
oct152461577050
940832515750
1014307229224
116082070092
122933566660
13147016b312
1499a20cb68
1558b0be069
hex354c6fe28

14307229224 has 96 divisors (see below), whose sum is σ = 39151031400. Its totient is φ = 4719697920.

The previous prime is 14307229217. The next prime is 14307229229. The reversal of 14307229224 is 42292270341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9418702500 + 4888526724 = 97050^2 + 69918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14307229229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9607872 + ... + 9609360.

Almost surely, 214307229224 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 14307229224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575515700).

14307229224 is an abundant number, since it is smaller than the sum of its proper divisors (24843802176).

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

14307229224 is a wasteful number, since it uses less digits than its factorization.

14307229224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 14307229224 its reverse (42292270341), we get a palindrome (56599499565).

The spelling of 14307229224 in words is "fourteen billion, three hundred seven million, two hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1181 1356 1489 2034 2362 2712 2978 3543 4068 4467 4724 5956 7086 8136 8934 9448 10629 11912 13401 14172 17868 21258 26802 28344 35736 42516 53604 85032 107208 133453 168257 266906 336514 400359 504771 533812 673028 800718 1009542 1067624 1201077 1346056 1514313 1601436 1758509 2019084 2402154 3028626 3202872 3517018 4038168 4804308 5275527 6057252 7034036 9608616 10551054 12114504 14068072 15826581 21102108 31653162 42204216 63306324 126612648 198711517 397423034 596134551 794846068 1192269102 1589692136 1788403653 2384538204 3576807306 4769076408 7153614612 14307229224