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2148337 is a prime number
BaseRepresentation
bin1000001100011111110001
311001010222001
420030133301
51022221322
6114014001
724155242
oct10143761
94033861
102148337
111238094
12877301
135a2b09
143dccc9
152c6827
hex20c7f1

2148337 has 2 divisors, whose sum is σ = 2148338. Its totient is φ = 2148336.

The previous prime is 2148329. The next prime is 2148343. The reversal of 2148337 is 7338412.

2148337 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., 2143296 + 5041 = 1464^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148337 - 23 = 2148329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2148347) 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, 1074168 + 1074169.

It is an arithmetic number, because the mean of its divisors is an integer number (1074169).

22148337 is an apocalyptic number.

It is an amenable number.

2148337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148337 is an equidigital number, since it uses as much as digits as its factorization.

2148337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 28.

The square root of 2148337 is about 1465.7206418687. The cubic root of 2148337 is about 129.0330023929.

It can be divided in two parts, 214833 and 7, that added together give a triangular number (214840 = T655).

The spelling of 2148337 in words is "two million, one hundred forty-eight thousand, three hundred thirty-seven".