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2317092864 = 21131923863
BaseRepresentation
bin1000101000011100…
…0000100000000000
312222111000111212020
42022013000200000
514221133432424
61021531201440
7111263651532
oct21207004000
95874014766
102317092864
11a89a36189
12547ba6280
132ac07b288
1417da3b852
15d864b079
hex8a1c0800

2317092864 has 192 divisors, whose sum is σ = 6793113600. Its totient is φ = 699088896.

The previous prime is 2317092863. The next prime is 2317092871. The reversal of 2317092864 is 4682907132.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2317092863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2684497 + ... + 2685359.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 22317092864 is an apocalyptic number.

2317092864 is a gapful number since it is divisible by the number (24) 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 2317092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

2317092864 is an abundant number, since it is smaller than the sum of its proper divisors (4476020736).

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

2317092864 is a wasteful number, since it uses less digits than its factorization.

2317092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2317092864 is about 48136.1907923758. The cubic root of 2317092864 is about 1323.2680090223.

Adding to 2317092864 its reverse (4682907132), we get a palindrome (6999999996).

The spelling of 2317092864 in words is "two billion, three hundred seventeen million, ninety-two thousand, eight hundred sixty-four".