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2302302216 = 233433735981
BaseRepresentation
bin1000100100111010…
…0101100000001000
312221110012001220110
42021032211200020
514203342132331
61020242154320
7111024150234
oct21116454010
95843161813
102302302216
11a81653805
125430529a0
132a8ca0006
1417baab5c4
15d71c8946
hex893a5808

2302302216 has 64 divisors (see below), whose sum is σ = 5906387520. Its totient is φ = 747452160.

The previous prime is 2302302209. The next prime is 2302302217. The reversal of 2302302216 is 6122032032.

It is a junction number, because it is equal to n+sod(n) for n = 2302302192 and 2302302201.

It is not an unprimeable number, because it can be changed into a prime (2302302217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381946 + ... + 387926.

It is an arithmetic number, because the mean of its divisors is an integer number (92287305).

Almost surely, 22302302216 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 2302302216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953193760).

2302302216 is an abundant number, since it is smaller than the sum of its proper divisors (3604085304).

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

2302302216 is a wasteful number, since it uses less digits than its factorization.

2302302216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2302302216 is about 47982.3114907984. The cubic root of 2302302216 is about 1320.4464009005.

Adding to 2302302216 its reverse (6122032032), we get a palindrome (8424334248).

The spelling of 2302302216 in words is "two billion, three hundred two million, three hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 373 516 746 1032 1119 1492 2238 2984 4476 5981 8952 11962 16039 17943 23924 32078 35886 47848 48117 64156 71772 96234 128312 143544 192468 257183 384936 514366 771549 1028732 1543098 2057464 2230913 3086196 4461826 6172392 6692739 8923652 13385478 17847304 26770956 53541912 95929259 191858518 287787777 383717036 575575554 767434072 1151151108 2302302216