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2210381 is a prime number
BaseRepresentation
bin1000011011101001001101
311011022001222
420123221031
51031213011
6115213125
724534155
oct10335115
94138058
102210381
11127a768
128a71a5
135c5124
14417765
152d9ddb
hex21ba4d

2210381 has 2 divisors, whose sum is σ = 2210382. Its totient is φ = 2210380.

The previous prime is 2210371. The next prime is 2210387. The reversal of 2210381 is 1830122.

2210381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1190281 + 1020100 = 1091^2 + 1010^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210381 - 218 = 1948237 is a prime.

It is a super-3 number, since 3×22103813 = 32398333466318209023, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105190 + 1105191.

It is an arithmetic number, because the mean of its divisors is an integer number (1105191).

22210381 is an apocalyptic number.

It is an amenable number.

2210381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210381 is an equidigital number, since it uses as much as digits as its factorization.

2210381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2210381 is about 1486.7350133766. The cubic root of 2210381 is about 130.2633910363.

The spelling of 2210381 in words is "two million, two hundred ten thousand, three hundred eighty-one".