Search a number
-
+
2002200119 = 83157153649
BaseRepresentation
bin111011101010111…
…0010011000110111
312011112111022012222
41313111302120313
513100030400434
6530402032555
7100421264063
oct16725623067
95145438188
102002200119
1193820a647
1247a64875b
1325ba678ca
1414dcacaa3
15bab9972e
hex77572637

2002200119 has 8 divisors (see below), whose sum is σ = 2039242800. Its totient is φ = 1965465216.

The previous prime is 2002200113. The next prime is 2002200121. The reversal of 2002200119 is 9110022002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002200119 - 224 = 1985422903 is a prime.

It is a super-2 number, since 2×20022001192 = 8017610633047228322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002200097 and 2002200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200113) 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 7 ways as a sum of consecutive naturals, for example, 63794 + ... + 89855.

It is an arithmetic number, because the mean of its divisors is an integer number (254905350).

Almost surely, 22002200119 is an apocalyptic number.

2002200119 is a deficient number, since it is larger than the sum of its proper divisors (37042681).

2002200119 is a wasteful number, since it uses less digits than its factorization.

2002200119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153889.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2002200119 is about 44745.9508670896. The cubic root of 2002200119 is about 1260.3828766307.

The spelling of 2002200119 in words is "two billion, two million, two hundred thousand, one hundred nineteen".

Divisors: 1 83 157 13031 153649 12752867 24122893 2002200119