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205343442 = 232173121647
BaseRepresentation
bin11000011110101…
…00101011010010
3112022101112020200
430033110223102
5410031442232
632213120030
75042250633
oct1417245322
9468345220
10205343442
11a5a02627
1258929016
13337084c5
141d3b388a
151306277c
hexc3d4ad2

205343442 has 48 divisors (see below), whose sum is σ = 486300672. Its totient is φ = 62340480.

The previous prime is 205343429. The next prime is 205343477. The reversal of 205343442 is 244343502.

205343442 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338 + ... + 20309.

It is an arithmetic number, because the mean of its divisors is an integer number (10131264).

Almost surely, 2205343442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205343442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243150336).

205343442 is an abundant number, since it is smaller than the sum of its proper divisors (280957230).

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

205343442 is a wasteful number, since it uses less digits than its factorization.

205343442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21703 (or 21700 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 205343442 is about 14329.8095590974. The cubic root of 205343442 is about 589.9659484322.

Adding to 205343442 its reverse (244343502), we get a palindrome (449686944).

The spelling of 205343442 in words is "two hundred five million, three hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4743 9486 21647 43294 64941 129882 194823 367999 389646 671057 735998 1103997 1342114 2013171 2207994 3311991 4026342 6039513 6623982 11407969 12079026 22815938 34223907 68447814 102671721 205343442