Search a number
-
+
2002000308 = 22371117233547
BaseRepresentation
bin111011101010100…
…0001100110110100
312011112010011010120
41313111001212310
513100003002213
6530353451540
7100416502410
oct16725014664
95145104116
102002000308
11938093510
1247a570bb0
1325b9c7989
1414dc59d40
15bab5a423
hex775419b4

2002000308 has 192 divisors, whose sum is σ = 6204377088. Its totient is φ = 486420480.

The previous prime is 2002000249. The next prime is 2002000309. The reversal of 2002000308 is 8030002002.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3659691 + ... + 3660237.

It is an arithmetic number, because the mean of its divisors is an integer number (32314464).

Almost surely, 22002000308 is an apocalyptic number.

2002000308 is a gapful number since it is divisible by the number (28) 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 2002000308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102188544).

2002000308 is an abundant number, since it is smaller than the sum of its proper divisors (4202376780).

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

2002000308 is a wasteful number, since it uses less digits than its factorization.

2002000308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2002000308 is about 44743.7180842183. The cubic root of 2002000308 is about 1260.3409482975.

The spelling of 2002000308 in words is "two billion, two million, three hundred eight", and thus it is an aban number.