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14433230224 = 2471922729879
BaseRepresentation
bin11010111000100100…
…11001110110010000
31101020212200001201101
431130102121312100
5214024401331344
610344110114144
71020445301260
oct153422316620
941225601641
1014433230224
116137200546
1229697ab954
1314902b681a
149acc4b7a0
155971ac9d4
hex35c499d90

14433230224 has 80 divisors (see below), whose sum is σ = 33790694400. Its totient is φ = 5834097792.

The previous prime is 14433230221. The next prime is 14433230267. The reversal of 14433230224 is 42203233441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14433230192 and 14433230201.

It is not an unprimeable number, because it can be changed into a prime (14433230221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468117 + ... + 497995.

It is an arithmetic number, because the mean of its divisors is an integer number (422383680).

Almost surely, 214433230224 is an apocalyptic number.

14433230224 is a gapful number since it is divisible by the number (14) 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 14433230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895347200).

14433230224 is an abundant number, since it is smaller than the sum of its proper divisors (19357464176).

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

14433230224 is a wasteful number, since it uses less digits than its factorization.

14433230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30140 (or 30134 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14433230224 its reverse (42203233441), we get a palindrome (56636463665).

The spelling of 14433230224 in words is "fourteen billion, four hundred thirty-three million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 227 266 304 454 532 908 1064 1589 1816 2128 3178 3632 4313 6356 8626 12712 17252 25424 29879 30191 34504 59758 60382 69008 119516 120764 209153 239032 241528 418306 478064 483056 567701 836612 1135402 1673224 2270804 3346448 3973907 4541608 6782533 7947814 9083216 13565066 15895628 27130132 31791256 47477731 54260264 63582512 94955462 108520528 128868127 189910924 257736254 379821848 515472508 759643696 902076889 1030945016 1804153778 2061890032 3608307556 7216615112 14433230224