Search a number
-
+
2310231040 = 21051361569
BaseRepresentation
bin1000100110110011…
…0101010000000000
312222000002220012121
42021230311100000
514212404343130
61021124134024
7111151432315
oct21154652000
95860086177
102310231040
11a86079857
12545837314
132aa817c20
1417cb72d0c
15d7c42d7a
hex89b35400

2310231040 has 176 divisors, whose sum is σ = 6076642320. Its totient is φ = 837550080.

The previous prime is 2310231023. The next prime is 2310231041. The reversal of 2310231040 is 401320132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1077940224 + 1232290816 = 32832^2 + 35104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310231041) 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, 4059876 + ... + 4060444.

Almost surely, 22310231040 is an apocalyptic number.

2310231040 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 2310231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038321160).

2310231040 is an abundant number, since it is smaller than the sum of its proper divisors (3766411280).

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

2310231040 is a wasteful number, since it uses less digits than its factorization.

2310231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2310231040 is about 48064.8628417891. The cubic root of 2310231040 is about 1321.9604783255.

Adding to 2310231040 its reverse (401320132), we get a palindrome (2711551172).

The spelling of 2310231040 in words is "two billion, three hundred ten million, two hundred thirty-one thousand, forty".