Search a number
-
+
2212001 = 112101181
BaseRepresentation
bin1000011100000010100001
311011101021222
420130002201
51031241001
6115224425
724541661
oct10340241
94141258
102212001
111280a00
128a8115
135c5a9c
144181a1
152da61b
hex21c0a1

2212001 has 12 divisors (see below), whose sum is σ = 2469012. Its totient is φ = 1980000.

The previous prime is 2211997. The next prime is 2212003. The reversal of 2212001 is 1002122.

It can be written as a sum of positive squares in 2 ways, for example, as 1002001 + 1210000 = 1001^2 + 1100^2 .

It is not a de Polignac number, because 2212001 - 22 = 2211997 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212001.

It is not an unprimeable number, because it can be changed into a prime (2212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12131 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (205751).

22212001 is an apocalyptic number.

It is an amenable number.

2212001 is a deficient number, since it is larger than the sum of its proper divisors (257011).

2212001 is a wasteful number, since it uses less digits than its factorization.

2212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2212001 is about 1487.2797315905. The cubic root of 2212001 is about 130.2952068425.

Adding to 2212001 its reverse (1002122), we get a palindrome (3214123).

It can be divided in two parts, 221 and 2001, that added together give a palindrome (2222).

The spelling of 2212001 in words is "two million, two hundred twelve thousand, one".

Divisors: 1 11 101 121 181 1111 1991 12221 18281 21901 201091 2212001