Search a number
-
+
2009220093 = 3383896573
BaseRepresentation
bin111011111000010…
…0100001111111101
312012000200221211000
41313300210033331
513103330020333
6531212320513
7100535042346
oct16760441775
95160627730
102009220093
11941174881
12480a73139
13260354c3a
14150bb90cd
15bb5d4713
hex77c243fd

2009220093 has 16 divisors (see below), whose sum is σ = 3012488640. Its totient is φ = 1323340272.

The previous prime is 2009220091. The next prime is 2009220121. The reversal of 2009220093 is 3900229002.

It is not a de Polignac number, because 2009220093 - 21 = 2009220091 is a prime.

It is a super-3 number, since 3×20092200933 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009220091) 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 15 ways as a sum of consecutive naturals, for example, 446046 + ... + 450527.

It is an arithmetic number, because the mean of its divisors is an integer number (188280540).

Almost surely, 22009220093 is an apocalyptic number.

It is an amenable number.

2009220093 is a deficient number, since it is larger than the sum of its proper divisors (1003268547).

2009220093 is an equidigital number, since it uses as much as digits as its factorization.

2009220093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896665 (or 896659 counting only the distinct ones).

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

The square root of 2009220093 is about 44824.3247913452. The cubic root of 2009220093 is about 1261.8541805325.

Adding to 2009220093 its reverse (3900229002), we get a palindrome (5909449095).

The spelling of 2009220093 in words is "two billion, nine million, two hundred twenty thousand, ninety-three".

Divisors: 1 3 9 27 83 249 747 2241 896573 2689719 8069157 24207471 74415559 223246677 669740031 2009220093