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2315761640 = 235521111121
BaseRepresentation
bin1000101000000111…
…1011011111101000
312222101111212202122
42022001323133220
514220313333030
61021442450412
7111246435443
oct21201733750
95871455678
102315761640
11a89206aa5
12547663a08
132aba0337a
1417d7b265a
15d84868e5
hex8a07b7e8

2315761640 has 32 divisors (see below), whose sum is σ = 5220511560. Its totient is φ = 924518400.

The previous prime is 2315761639. The next prime is 2315761649. The reversal of 2315761640 is 461675132.

2315761640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1684445764 + 631315876 = 41042^2 + 25126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2315761640.

It is not an unprimeable number, because it can be changed into a prime (2315761649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34721 + ... + 76400.

Almost surely, 22315761640 is an apocalyptic number.

2315761640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315761640 is an abundant number, since it is smaller than the sum of its proper divisors (2904749920).

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

2315761640 is a wasteful number, since it uses less digits than its factorization.

2315761640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111653 (or 111649 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2315761640 is about 48122.3611224553. The cubic root of 2315761640 is about 1323.0145443438.

The spelling of 2315761640 in words is "two billion, three hundred fifteen million, seven hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 10420 20840 111121 222242 444484 555605 888968 1111210 2222420 4444840 57894041 115788082 231576164 289470205 463152328 578940410 1157880820 2315761640