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2228101 is a prime number
BaseRepresentation
bin1000011111111110000101
311012012101021
420133332011
51032244401
6115431141
724636631
oct10377605
94165337
102228101
111292007
128b54b1
13600205
1441ddc1
152e02a1
hex21ff85

2228101 has 2 divisors, whose sum is σ = 2228102. Its totient is φ = 2228100.

The previous prime is 2228089. The next prime is 2228113. The reversal of 2228101 is 1018222.

It is a balanced prime because it is at equal distance from previous prime (2228089) and next prime (2228113).

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 564001 = 1290^2 + 751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2228101 is a prime.

2228101 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2228201) 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, 1114050 + 1114051.

It is an arithmetic number, because the mean of its divisors is an integer number (1114051).

22228101 is an apocalyptic number.

It is an amenable number.

2228101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2228101 is an equidigital number, since it uses as much as digits as its factorization.

2228101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2228101 is about 1492.6824846564. The cubic root of 2228101 is about 130.6105598988.

The spelling of 2228101 in words is "two million, two hundred twenty-eight thousand, one hundred one".