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2315530120 = 235311979479
BaseRepresentation
bin1000101000000100…
…0010111110001000
312222101002010011211
42022001002332020
514220233430440
61021433502504
7111244452451
oct21201027610
95871063154
102315530120
11a89069062
12547571a34
132ab951b87
1417d752128
15d843ceea
hex8a042f88

2315530120 has 64 divisors (see below), whose sum is σ = 5405875200. Its totient is φ = 891690240.

The previous prime is 2315530109. The next prime is 2315530123. The reversal of 2315530120 is 210355132.

It is a junction number, because it is equal to n+sod(n) for n = 2315530091 and 2315530100.

It is not an unprimeable number, because it can be changed into a prime (2315530123) 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, 239541 + ... + 249019.

It is an arithmetic number, because the mean of its divisors is an integer number (84466800).

Almost surely, 22315530120 is an apocalyptic number.

2315530120 is a gapful number since it is divisible by the number (20) 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 2315530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702937600).

2315530120 is an abundant number, since it is smaller than the sum of its proper divisors (3090345080).

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

2315530120 is a wasteful number, since it uses less digits than its factorization.

2315530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2315530120 is about 48119.9555278265. The cubic root of 2315530120 is about 1322.9704530853.

Adding to 2315530120 its reverse (210355132), we get a palindrome (2525885252).

The spelling of 2315530120 in words is "two billion, three hundred fifteen million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 197 248 310 394 620 788 985 1240 1576 1970 3940 6107 7880 9479 12214 18958 24428 30535 37916 47395 48856 61070 75832 94790 122140 189580 244280 293849 379160 587698 1175396 1469245 1867363 2350792 2938490 3734726 5876980 7469452 9336815 11753960 14938904 18673630 37347260 57888253 74694520 115776506 231553012 289441265 463106024 578882530 1157765060 2315530120