Search a number
-
+
2102005422 = 2321110616189
BaseRepresentation
bin111110101001010…
…0000111010101110
312102111021221100200
41331102200322232
513301103133142
6544325134330
7103042515456
oct17522407256
95374257320
102102005422
11989588870
124a7b5a3a6
132766408ba
1415d24cd66
15c481164c
hex7d4a0eae

2102005422 has 24 divisors (see below), whose sum is σ = 4968376920. Its totient is φ = 636971280.

The previous prime is 2102005417. The next prime is 2102005429. The reversal of 2102005422 is 2245002012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102005395 and 2102005404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102005429) 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 11 ways as a sum of consecutive naturals, for example, 5307897 + ... + 5308292.

It is an arithmetic number, because the mean of its divisors is an integer number (207015705).

Almost surely, 22102005422 is an apocalyptic number.

2102005422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102005422 is an abundant number, since it is smaller than the sum of its proper divisors (2866371498).

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

2102005422 is a wasteful number, since it uses less digits than its factorization.

2102005422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616208 (or 10616205 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2102005422 is about 45847.6326760717. The cubic root of 2102005422 is about 1280.9866704769.

Adding to 2102005422 its reverse (2245002012), we get a palindrome (4347007434).

The spelling of 2102005422 in words is "two billion, one hundred two million, five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10616189 21232378 31848567 63697134 95545701 116778079 191091402 233556158 350334237 700668474 1051002711 2102005422