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205453430 = 25713317283
BaseRepresentation
bin11000011111011…
…11100001110110
3112022121010010022
430033233201312
5410044002210
632215325142
75043216410
oct1417574166
9468533108
10205453430
11a5a78226
12589807b2
13337465a0
141d4019b0
1513085155
hexc3ef876

205453430 has 64 divisors (see below), whose sum is σ = 469905408. Its totient is φ = 62916480.

The previous prime is 205453427. The next prime is 205453459. The reversal of 205453430 is 34354502.

205453430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2054534302 = 84422223797529800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 205453430.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24569 + ... + 31851.

It is an arithmetic number, because the mean of its divisors is an integer number (7342272).

Almost surely, 2205453430 is an apocalyptic number.

205453430 is an abundant number, since it is smaller than the sum of its proper divisors (264451978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205453430 is a wasteful number, since it uses less digits than its factorization.

205453430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341.

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 205453430 is about 14333.6467795185. The cubic root of 205453430 is about 590.0712640147.

The spelling of 205453430 in words is "two hundred five million, four hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 182 217 310 403 434 455 806 910 1085 2015 2170 2821 4030 5642 7283 14105 14566 28210 36415 50981 72830 94679 101962 189358 225773 254905 451546 473395 509810 662753 946790 1128865 1325506 1580411 2257730 2935049 3160822 3313765 5870098 6627530 7902055 14675245 15804110 20545343 29350490 41090686 102726715 205453430