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205413237 = 32191201247
BaseRepresentation
bin11000011111001…
…01101101110101
3112022112001222200
430033211231311
5410041210422
632214415113
75042661261
oct1417455565
9468461880
10205413237
11a5a50007
1258961499
13337311c3
141d3d10a1
15130782ac
hexc3e5b75

205413237 has 12 divisors (see below), whose sum is σ = 312324480. Its totient is φ = 129734568.

The previous prime is 205413211. The next prime is 205413251. The reversal of 205413237 is 732314502.

It is a de Polignac number, because none of the positive numbers 2k-205413237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205413237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205413137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600453 + ... + 600794.

It is an arithmetic number, because the mean of its divisors is an integer number (26027040).

Almost surely, 2205413237 is an apocalyptic number.

It is an amenable number.

205413237 is a deficient number, since it is larger than the sum of its proper divisors (106911243).

205413237 is a wasteful number, since it uses less digits than its factorization.

205413237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201272 (or 1201269 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 205413237 is about 14332.2446602059. The cubic root of 205413237 is about 590.0327828188.

Adding to 205413237 its reverse (732314502), we get a palindrome (937727739).

The spelling of 205413237 in words is "two hundred five million, four hundred thirteen thousand, two hundred thirty-seven".

Divisors: 1 3 9 19 57 171 1201247 3603741 10811223 22823693 68471079 205413237