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2002200993 = 3213171006637
BaseRepresentation
bin111011101010111…
…0010100110100001
312011112111100102100
41313111302212201
513100030412433
6530402041013
7100421266452
oct16725624641
95145440370
102002200993
11938210271
1247a649169
1325ba68120
1414dcad129
15bab99b13
hex775729a1

2002200993 has 24 divisors (see below), whose sum is σ = 3297746088. Its totient is φ = 1159644672.

The previous prime is 2002200989. The next prime is 2002201001. The reversal of 2002200993 is 3990022002.

It can be written as a sum of positive squares in 4 ways, for example, as 242985744 + 1759215249 = 15588^2 + 41943^2 .

It is not a de Polignac number, because 2002200993 - 22 = 2002200989 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002200953) 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 23 ways as a sum of consecutive naturals, for example, 501330 + ... + 505307.

It is an arithmetic number, because the mean of its divisors is an integer number (137406087).

Almost surely, 22002200993 is an apocalyptic number.

It is an amenable number.

2002200993 is a deficient number, since it is larger than the sum of its proper divisors (1295545095).

2002200993 is a wasteful number, since it uses less digits than its factorization.

2002200993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006673 (or 1006670 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2002200993 is about 44745.9606333354. The cubic root of 2002200993 is about 1260.3830600247.

Adding to 2002200993 its reverse (3990022002), we get a palindrome (5992222995).

The spelling of 2002200993 in words is "two billion, two million, two hundred thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 1006637 3019911 9059733 13086281 17112829 39258843 51338487 117776529 154015461 222466777 667400331 2002200993