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2210221001 is a prime number
BaseRepresentation
bin1000001110111101…
…0100101111001001
312201000220212020002
42003233110233021
514011304033001
61003152412345
7105525366002
oct20357245711
95630825202
102210221001
11a3468082a
125182470b5
13292b9c9a1
1416d77c1a9
15ce08a46b
hex83bd4bc9

2210221001 has 2 divisors, whose sum is σ = 2210221002. Its totient is φ = 2210221000.

The previous prime is 2210220979. The next prime is 2210221033. The reversal of 2210221001 is 1001220122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1847280400 + 362940601 = 42980^2 + 19051^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210221001 - 214 = 2210204617 is a prime.

It is a super-2 number, since 2×22102210012 = 9770153746522884002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2210221061) 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 as a sum of consecutive naturals, namely, 1105110500 + 1105110501.

It is an arithmetic number, because the mean of its divisors is an integer number (1105110501).

Almost surely, 22210221001 is an apocalyptic number.

It is an amenable number.

2210221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210221001 is an equidigital number, since it uses as much as digits as its factorization.

2210221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2210221001 is about 47012.9875779023. The cubic root of 2210221001 is about 1302.6024791072.

Adding to 2210221001 its reverse (1001220122), we get a palindrome (3211441123).

The spelling of 2210221001 in words is "two billion, two hundred ten million, two hundred twenty-one thousand, one".