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2198137 is a prime number
BaseRepresentation
bin1000011000101001111001
311010200021111
420120221321
51030320022
6115040321
724453364
oct10305171
94120244
102198137
111271547
128a00a1
135bc696
144130db
152d6477
hex218a79

2198137 has 2 divisors, whose sum is σ = 2198138. Its totient is φ = 2198136.

The previous prime is 2198093. The next prime is 2198153. The reversal of 2198137 is 7318912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1229881 + 968256 = 1109^2 + 984^2 .

It is a cyclic number.

It is not a de Polignac number, because 2198137 - 219 = 1673849 is a prime.

It is a Chen prime.

It is an Ulam number.

2198137 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2198099 and 2198108.

It is not a weakly prime, because it can be changed into another prime (2198437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1099068 + 1099069.

It is an arithmetic number, because the mean of its divisors is an integer number (1099069).

22198137 is an apocalyptic number.

It is an amenable number.

2198137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2198137 is an equidigital number, since it uses as much as digits as its factorization.

2198137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 31.

The square root of 2198137 is about 1482.6115472368. The cubic root of 2198137 is about 130.0224221679.

The spelling of 2198137 in words is "two million, one hundred ninety-eight thousand, one hundred thirty-seven".