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4224304314 = 232192292773
BaseRepresentation
bin1111101111001001…
…1100010010111010
3101220101202220010100
43323302130102322
532122410214224
61535101300230
7206452665006
oct37362342272
911811686110
104224304314
11187856739a
1299a864676
13524238369
142c1061706
1519acd0ac9
hexfbc9c4ba

4224304314 has 108 divisors (see below), whose sum is σ = 10017254286. Its totient is φ = 1286324928.

The previous prime is 4224304309. The next prime is 4224304327. The reversal of 4224304314 is 4134034224.

It is a happy number.

4224304314 is a `hidden beast` number, since 4 + 224 + 3 + 0 + 431 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2743978689 + 1480325625 = 52383^2 + 38475^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5464432 + ... + 5465204.

Almost surely, 24224304314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224304314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008627143).

4224304314 is an abundant number, since it is smaller than the sum of its proper divisors (5792949972).

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

4224304314 is a wasteful number, since it uses less digits than its factorization.

4224304314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4224304314 is about 64994.6483489218. The cubic root of 4224304314 is about 1616.5348269478.

Adding to 4224304314 its reverse (4134034224), we get a palindrome (8358338538).

The spelling of 4224304314 in words is "four billion, two hundred twenty-four million, three hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 361 522 551 722 773 841 1083 1102 1546 1653 1682 2166 2319 2523 3249 3306 4638 4959 5046 6498 6957 7569 9918 10469 13914 14687 15138 15979 20938 22417 29374 31407 31958 44061 44834 47937 62814 67251 88122 94221 95874 132183 134502 143811 188442 201753 264366 279053 287622 303601 403506 425923 558106 607202 650093 837159 851846 910803 1277769 1300186 1674318 1821606 1950279 2511477 2555538 2732409 3833307 3900558 5022954 5464818 5850837 7666614 8092537 11701674 12351767 16185074 24277611 24703534 37055301 48555222 72832833 74110602 111165903 145665666 222331806 234683573 469367146 704050719 1408101438 2112152157 4224304314