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205420037 is a prime number
BaseRepresentation
bin11000011111001…
…11011000000101
3112022112102022112
430033213120011
5410041420122
632214510405
75043020144
oct1417473005
9468472275
10205420037
11a5a55129
1258965405
1333734324
141d3d375b
151307a2e2
hexc3e7605

205420037 has 2 divisors, whose sum is σ = 205420038. Its totient is φ = 205420036.

The previous prime is 205420031. The next prime is 205420067. The reversal of 205420037 is 730024502.

205420037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205234276 + 185761 = 14326^2 + 431^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205420037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205419994 and 205420021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205420031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102710018 + 102710019.

It is an arithmetic number, because the mean of its divisors is an integer number (102710019).

Almost surely, 2205420037 is an apocalyptic number.

It is an amenable number.

205420037 is a deficient number, since it is larger than the sum of its proper divisors (1).

205420037 is an equidigital number, since it uses as much as digits as its factorization.

205420037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 205420037 is about 14332.4818855633. The cubic root of 205420037 is about 590.0392935623.

Adding to 205420037 its reverse (730024502), we get a palindrome (935444539).

The spelling of 205420037 in words is "two hundred five million, four hundred twenty thousand, thirty-seven".