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205340223 = 31127122961
BaseRepresentation
bin11000011110100…
…11111000111111
3112022101100211110
430033103320333
5410031341343
632213053103
75042235354
oct1417237077
9468340743
10205340223
11a5a00170
1258927193
1333706bba
141d3b262b
1513061833
hexc3d3e3f

205340223 has 16 divisors (see below), whose sum is σ = 299791872. Its totient is φ = 123984000.

The previous prime is 205340221. The next prime is 205340243. The reversal of 205340223 is 322043502.

It is not a de Polignac number, because 205340223 - 21 = 205340221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205340223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205340221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538 + ... + 20423.

It is an arithmetic number, because the mean of its divisors is an integer number (18736992).

Almost surely, 2205340223 is an apocalyptic number.

205340223 is a deficient number, since it is larger than the sum of its proper divisors (94451649).

205340223 is a wasteful number, since it uses less digits than its factorization.

205340223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23246.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 205340223 is about 14329.6972403467. The cubic root of 205340223 is about 589.9628656126.

Adding to 205340223 its reverse (322043502), we get a palindrome (527383725).

The spelling of 205340223 in words is "two hundred five million, three hundred forty thousand, two hundred twenty-three".

Divisors: 1 3 11 33 271 813 2981 8943 22961 68883 252571 757713 6222431 18667293 68446741 205340223