Search a number
BaseRepresentation
bin1000101000001001…
…1011010110000000
312222101202111201100
42022002123112000
514220332021341
61021445334400
7111250521000
oct21202332600
95871674640
102315892096
11a89296011
12547707400
132aba4a86b
1417d808000
15d84b03b6
hex8a09b580

2315892096 has 192 divisors, whose sum is σ = 7773012000. Its totient is φ = 661570560.

The previous prime is 2315892079. The next prime is 2315892097. The reversal of 2315892096 is 6902985132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315892097) 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 23 ways as a sum of consecutive naturals, for example, 392206 + ... + 398066.

Almost surely, 22315892096 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 2315892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886506000).

2315892096 is an abundant number, since it is smaller than the sum of its proper divisors (5457119904).

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

2315892096 is an equidigital number, since it uses as much as digits as its factorization.

2315892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2315892096 is about 48123.7165647044. The cubic root of 2315892096 is about 1323.0393874223.

The spelling of 2315892096 in words is "two billion, three hundred fifteen million, eight hundred ninety-two thousand, ninety-six".