Search a number
-
+
205312 = 29401
BaseRepresentation
bin110010001000000000
3101102122011
4302020000
523032222
64222304
71513402
oct621000
9342564
10205312
11130288
129a994
13725b3
1454b72
1540c77
hex32200

205312 has 20 divisors (see below), whose sum is σ = 411246. Its totient is φ = 102400.

The previous prime is 205307. The next prime is 205319. The reversal of 205312 is 213502.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 92416 = 336^2 + 304^2 .

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 205292 and 205301.

It is not an unprimeable number, because it can be changed into a prime (205319) by changing a digit.

205312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312 + ... + 712.

2205312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205623).

205312 is an abundant number, since it is smaller than the sum of its proper divisors (205934).

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

205312 is an frugal number, since it uses more digits than its factorization.

205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 205312 is about 453.1136722722. The cubic root of 205312 is about 58.9935835213.

Adding to 205312 its reverse (213502), we get a palindrome (418814).

The spelling of 205312 in words is "two hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 401 512 802 1604 3208 6416 12832 25664 51328 102656 205312