Search a number
-
+
220105001 = 1727310433
BaseRepresentation
bin11010001111010…
…00100100101001
3120100011111022002
431013220210221
5422321330001
633501340345
75311601354
oct1507504451
9510144262
10220105001
11103275166
12618676b5
13367a645c
142133729b
15144cb46b
hexd1e8929

220105001 has 12 divisors (see below), whose sum is σ = 237039612. Its totient is φ = 204300288.

The previous prime is 220104979. The next prime is 220105027. The reversal of 220105001 is 100501022.

It can be written as a sum of positive squares in 6 ways, for example, as 33918976 + 186186025 = 5824^2 + 13645^2 .

It is a de Polignac number, because none of the positive numbers 2k-220105001 is a prime.

It is a super-2 number, since 2×2201050012 = 96892422930420002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220105601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15881 + ... + 26313.

It is an arithmetic number, because the mean of its divisors is an integer number (19753301).

Almost surely, 2220105001 is an apocalyptic number.

It is an amenable number.

220105001 is a deficient number, since it is larger than the sum of its proper divisors (16934611).

220105001 is a wasteful number, since it uses less digits than its factorization.

220105001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 220105001 is about 14835.9361349394. The cubic root of 220105001 is about 603.7770994899. Note that the first 3 decimals are identical.

Adding to 220105001 its reverse (100501022), we get a palindrome (320606023).

The spelling of 220105001 in words is "two hundred twenty million, one hundred five thousand, one".

Divisors: 1 17 73 289 1241 10433 21097 177361 761609 3015137 12947353 220105001