Search a number
-
+
2225101 is a prime number
BaseRepresentation
bin1000011111001111001101
311012001021011
420133033031
51032200401
6115405221
724625114
oct10371715
94161234
102225101
11128a82a
128b3811
135cba38
1441cc7b
152de451
hex21f3cd

2225101 has 2 divisors, whose sum is σ = 2225102. Its totient is φ = 2225100.

The previous prime is 2225081. The next prime is 2225107. The reversal of 2225101 is 1015222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 561001 = 1290^2 + 749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225101 - 213 = 2216909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2225107) 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 as a sum of consecutive naturals, namely, 1112550 + 1112551.

It is an arithmetic number, because the mean of its divisors is an integer number (1112551).

22225101 is an apocalyptic number.

It is an amenable number.

2225101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225101 is an equidigital number, since it uses as much as digits as its factorization.

2225101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2225101 is about 1491.6772439104. The cubic root of 2225101 is about 130.5519138934.

The spelling of 2225101 in words is "two million, two hundred twenty-five thousand, one hundred one".