Search a number
-
+
205041354 = 23747241431
BaseRepresentation
bin11000011100010…
…10111011001010
3112021211011212020
430032022323022
5404442310404
632202425310
75036552130
oct1416127312
9467734766
10205041354
11a5816671
1258802236
1333630b5b
141d335750
1513002ed9
hexc38aeca

205041354 has 64 divisors (see below), whose sum is σ = 481738752. Its totient is φ = 56966400.

The previous prime is 205041341. The next prime is 205041391. The reversal of 205041354 is 453140502.

205041354 is digitally balanced in base 2, because in such base 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 31 ways as a sum of consecutive naturals, for example, 475519 + ... + 475949.

It is an arithmetic number, because the mean of its divisors is an integer number (7527168).

Almost surely, 2205041354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205041354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240869376).

205041354 is an abundant number, since it is smaller than the sum of its proper divisors (276697398).

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

205041354 is a wasteful number, since it uses less digits than its factorization.

205041354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 205041354 is about 14319.2651347756. The cubic root of 205041354 is about 589.6764998556.

Adding to 205041354 its reverse (453140502), we get a palindrome (658181856).

The spelling of 205041354 in words is "two hundred five million, forty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 241 282 329 431 482 658 723 862 987 1293 1446 1687 1974 2586 3017 3374 5061 6034 9051 10122 11327 18102 20257 22654 33981 40514 60771 67962 79289 103871 121542 141799 158578 207742 237867 283598 311613 425397 475734 623226 727097 850794 1454194 2181291 4362582 4881937 9763874 14645811 29291622 34173559 68347118 102520677 205041354