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2002200021 = 32222466669
BaseRepresentation
bin111011101010111…
…0010010111010101
312011112111022002100
41313111302113111
513100030400041
6530402032313
7100421263563
oct16725622725
95145438070
102002200021
1193820a568
1247a648699
1325ba67853
1414dcaca33
15bab996b6
hex775725d5

2002200021 has 6 divisors (see below), whose sum is σ = 2892066710. Its totient is φ = 1334800008.

The previous prime is 2002200017. The next prime is 2002200023. The reversal of 2002200021 is 1200022002.

It can be written as a sum of positive squares in only one way, i.e., 1445900625 + 556299396 = 38025^2 + 23586^2 .

It is not a de Polignac number, because 2002200021 - 22 = 2002200017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222466669 = 2002200021 / (2 + 0 + 0 + 2 + 2 + 0 + 0 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002199976 and 2002200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111233326 + ... + 111233343.

Almost surely, 22002200021 is an apocalyptic number.

It is an amenable number.

2002200021 is a deficient number, since it is larger than the sum of its proper divisors (889866689).

2002200021 is a wasteful number, since it uses less digits than its factorization.

2002200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222466675 (or 222466672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002200021 is about 44745.9497720185. The cubic root of 2002200021 is about 1260.3828560670.

Adding to 2002200021 its reverse (1200022002), we get a palindrome (3202222023).

The spelling of 2002200021 in words is "two billion, two million, two hundred thousand, twenty-one".

Divisors: 1 3 9 222466669 667400007 2002200021