Search a number
-
+
2131442340 = 223535524039
BaseRepresentation
bin111111100001011…
…0011101010100100
312111112200111012220
41333002303222210
513331122123330
6551300112340
7103550650416
oct17702635244
95445614186
102131442340
119a41641a5
124b59956b0
1327c7794b1
141631129b6
15c71c8710
hex7f0b3aa4

2131442340 has 24 divisors (see below), whose sum is σ = 5968038720. Its totient is φ = 568384608.

The previous prime is 2131442333. The next prime is 2131442347. The reversal of 2131442340 is 432441312.

It is an interprime number because it is at equal distance from previous prime (2131442333) and next prime (2131442347).

It is a self number, because there is not a number n which added to its sum of digits gives 2131442340.

It is not an unprimeable number, because it can be changed into a prime (2131442347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17761960 + ... + 17762079.

It is an arithmetic number, because the mean of its divisors is an integer number (248668280).

Almost surely, 22131442340 is an apocalyptic number.

2131442340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131442340 is an abundant number, since it is smaller than the sum of its proper divisors (3836596380).

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

2131442340 is a wasteful number, since it uses less digits than its factorization.

2131442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35524051 (or 35524049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2131442340 is about 46167.5463935436. The cubic root of 2131442340 is about 1286.9387057865.

Adding to 2131442340 its reverse (432441312), we get a palindrome (2563883652).

The spelling of 2131442340 in words is "two billion, one hundred thirty-one million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35524039 71048078 106572117 142096156 177620195 213144234 355240390 426288468 532860585 710480780 1065721170 2131442340