Search a number
-
+
2002000302 = 232449247711
BaseRepresentation
bin111011101010100…
…0001100110101110
312011112010011010100
41313111001212232
513100003002202
6530353451530
7100416502401
oct16725014656
95145104110
102002000302
11938093505
1247a570ba6
1325b9c7983
1414dc59d38
15bab5a41c
hex775419ae

2002000302 has 24 divisors (see below), whose sum is σ = 4347345600. Its totient is φ = 665844480.

The previous prime is 2002000249. The next prime is 2002000309. The reversal of 2002000302 is 2030002002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000309) 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 11 ways as a sum of consecutive naturals, for example, 115774 + ... + 131937.

It is an arithmetic number, because the mean of its divisors is an integer number (181139400).

Almost surely, 22002000302 is an apocalyptic number.

2002000302 is an abundant number, since it is smaller than the sum of its proper divisors (2345345298).

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

2002000302 is a wasteful number, since it uses less digits than its factorization.

2002000302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248168 (or 248165 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2002000302 is about 44743.7180171697. The cubic root of 2002000302 is about 1260.3409470384.

Adding to 2002000302 its reverse (2030002002), we get a palindrome (4032002304).

The spelling of 2002000302 in words is "two billion, two million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 449 898 1347 2694 4041 8082 247711 495422 743133 1486266 2229399 4458798 111222239 222444478 333666717 667333434 1001000151 2002000302