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205623133 is a prime number
BaseRepresentation
bin11000100000110…
…00111101011101
3112022220201220121
430100120331131
5410114420013
632223114541
75044524232
oct1420307535
9468821817
10205623133
11a6083781
1258a42a51
13337a58c1
141d447789
15130ba58d
hexc418f5d

205623133 has 2 divisors, whose sum is σ = 205623134. Its totient is φ = 205623132.

The previous prime is 205623113. The next prime is 205623139. The reversal of 205623133 is 331326502.

It is a happy number.

205623133 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., 160706329 + 44916804 = 12677^2 + 6702^2 .

It is a cyclic number.

It is not a de Polignac number, because 205623133 - 29 = 205622621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205623098 and 205623107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205623139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102811566 + 102811567.

It is an arithmetic number, because the mean of its divisors is an integer number (102811567).

Almost surely, 2205623133 is an apocalyptic number.

It is an amenable number.

205623133 is a deficient number, since it is larger than the sum of its proper divisors (1).

205623133 is an equidigital number, since it uses as much as digits as its factorization.

205623133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 205623133 is about 14339.5653002453. The cubic root of 205623133 is about 590.2336841239.

Adding to 205623133 its reverse (331326502), we get a palindrome (536949635).

The spelling of 205623133 in words is "two hundred five million, six hundred twenty-three thousand, one hundred thirty-three".