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205054047 = 32112717643
BaseRepresentation
bin11000011100011…
…10000001011111
3112021211211021100
430032032001133
5404443212142
632203004143
75036634132
oct1416160137
9467754240
10205054047
11a5825160
1258809653
1333636873
141d33a219
1513006b4c
hexc38e05f

205054047 has 24 divisors (see below), whose sum is σ = 324350208. Its totient is φ = 123800400.

The previous prime is 205054043. The next prime is 205054049. The reversal of 205054047 is 740450502.

205054047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205054047 - 22 = 205054043 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205054047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205054043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23008 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (13514592).

Almost surely, 2205054047 is an apocalyptic number.

205054047 is a deficient number, since it is larger than the sum of its proper divisors (119296161).

205054047 is a wasteful number, since it uses less digits than its factorization.

205054047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 205054047 is about 14319.7083420019. The cubic root of 205054047 is about 589.6886674976.

The spelling of 205054047 in words is "two hundred five million, fifty-four thousand, forty-seven".

Divisors: 1 3 9 11 33 99 271 813 2439 2981 7643 8943 22929 26829 68787 84073 252219 756657 2071253 6213759 18641277 22783783 68351349 205054047