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37144213 is a prime number
BaseRepresentation
bin1000110110110…
…0011010010101
32120220010021121
42031230122111
534002103323
63404043541
7630502111
oct215543225
976803247
1037144213
1119a6aaa7
12105335b1
137906a32
144d0c741
1533daa5d
hex236c695

37144213 has 2 divisors, whose sum is σ = 37144214. Its totient is φ = 37144212.

The previous prime is 37144199. The next prime is 37144223. The reversal of 37144213 is 31244173.

37144213 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., 23059204 + 14085009 = 4802^2 + 3753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37144213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37144223) 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, 18572106 + 18572107.

It is an arithmetic number, because the mean of its divisors is an integer number (18572107).

Almost surely, 237144213 is an apocalyptic number.

It is an amenable number.

37144213 is a deficient number, since it is larger than the sum of its proper divisors (1).

37144213 is an equidigital number, since it uses as much as digits as its factorization.

37144213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 25.

The square root of 37144213 is about 6094.6052374210. The cubic root of 37144213 is about 333.6545515793.

Adding to 37144213 its reverse (31244173), we get a palindrome (68388386).

The spelling of 37144213 in words is "thirty-seven million, one hundred forty-four thousand, two hundred thirteen".