Search a number
-
+
2002302320 = 245127197077
BaseRepresentation
bin111011101011000…
…1011010101110000
312011112200111102012
41313112023111300
513100042133240
6530404142052
7100422201044
oct16726132560
95145614365
102002302320
1193827a407
1247a697928
1325baa2295
1414dcd8024
15babb9b65
hex7758b570

2002302320 has 40 divisors (see below), whose sum is σ = 4692033024. Its totient is φ = 794610432.

The previous prime is 2002302277. The next prime is 2002302349. The reversal of 2002302320 is 232032002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2002302295 and 2002302304.

It is a congruent number.

It is an unprimeable number.

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, 88379 + ... + 108698.

Almost surely, 22002302320 is an apocalyptic number.

2002302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002302320 is an abundant number, since it is smaller than the sum of its proper divisors (2689730704).

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

2002302320 is a wasteful number, since it uses less digits than its factorization.

2002302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197217 (or 197211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2002302320 is about 44747.0928664645. The cubic root of 2002302320 is about 1260.4043214066.

Adding to 2002302320 its reverse (232032002), we get a palindrome (2234334322).

The spelling of 2002302320 in words is "two billion, two million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 197077 394154 788308 985385 1576616 1970770 3153232 3941540 7883080 15766160 25028779 50057558 100115116 125143895 200230232 250287790 400460464 500575580 1001151160 2002302320