Search a number
-
+
2322815040 = 263257138863
BaseRepresentation
bin1000101001110011…
…0101100001000000
312222212210020012200
42022130311201000
514224120040130
61022253553200
7111363413340
oct21234654100
95885706180
102322815040
11a92194357
12549aa5800
132b0302990
141806cad20
15d8dcb760
hex8a735840

2322815040 has 336 divisors, whose sum is σ = 9834359808. Its totient is φ = 490033152.

The previous prime is 2322815039. The next prime is 2322815137. The reversal of 2322815040 is 405182232.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2322814995 and 2322815013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257649 + ... + 266511.

It is an arithmetic number, because the mean of its divisors is an integer number (29268928).

Almost surely, 22322815040 is an apocalyptic number.

2322815040 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 2322815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917179904).

2322815040 is an abundant number, since it is smaller than the sum of its proper divisors (7511544768).

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

2322815040 is a wasteful number, since it uses less digits than its factorization.

2322815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2322815040 is about 48195.5914996382. The cubic root of 2322815040 is about 1324.3564056043.

Adding to 2322815040 its reverse (405182232), we get a palindrome (2727997272).

The spelling of 2322815040 in words is "two billion, three hundred twenty-two million, eight hundred fifteen thousand, forty".