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2315630664 = 233273440569
BaseRepresentation
bin1000101000000101…
…1011100001001000
312222101021020002200
42022001123201020
514220300140124
61021440000200
7111245351544
oct21201334110
95871236080
102315630664
11a89127656
12547600060
132ab988879
1417d77aa24
15d845cbc9
hex8a05b848

2315630664 has 48 divisors (see below), whose sum is σ = 6357425100. Its totient is φ = 761301504.

The previous prime is 2315630663. The next prime is 2315630671. The reversal of 2315630664 is 4660365132.

2315630664 is a `hidden beast` number, since 2 + 3 + 15 + 630 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2306880900 + 8749764 = 48030^2 + 2958^2 .

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 (2315630663) 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 11 ways as a sum of consecutive naturals, for example, 215029 + ... + 225540.

Almost surely, 22315630664 is an apocalyptic number.

2315630664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2315630664 is an abundant number, since it is smaller than the sum of its proper divisors (4041794436).

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

2315630664 is a wasteful number, since it uses less digits than its factorization.

2315630664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440654 (or 440647 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2315630664 is about 48121.0002389809. Note that the first 3 decimals coincide. The cubic root of 2315630664 is about 1322.9896013018.

Adding to 2315630664 its reverse (4660365132), we get a palindrome (6975995796).

The spelling of 2315630664 in words is "two billion, three hundred fifteen million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 440569 881138 1321707 1762276 2643414 3524552 3965121 5286828 7930242 10573656 15860484 31720968 32161537 64323074 96484611 128646148 192969222 257292296 289453833 385938444 578907666 771876888 1157815332 2315630664