Search a number
-
+
205333531 = 13172274093
BaseRepresentation
bin11000011110100…
…10010000011011
3112022101000122121
430033102100123
5410031133111
632213002111
75042210014
oct1417222033
9468330577
10205333531
11a59a6137
1258923337
1333703b40
141d3b000b
151305e871
hexc3d241b

205333531 has 16 divisors (see below), whose sum is σ = 235224864. Its totient is φ = 177560064.

The previous prime is 205333529. The next prime is 205333559. The reversal of 205333531 is 135333502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 205333531 - 21 = 205333529 is a prime.

It is a super-2 number, since 2×2053335312 = 84323717905855922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205333496 and 205333505.

It is not an unprimeable number, because it can be changed into a prime (205333231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48121 + ... + 52213.

It is an arithmetic number, because the mean of its divisors is an integer number (14701554).

Almost surely, 2205333531 is an apocalyptic number.

205333531 is a deficient number, since it is larger than the sum of its proper divisors (29891333).

205333531 is a wasteful number, since it uses less digits than its factorization.

205333531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350.

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 205333531 is about 14329.4637373490. The cubic root of 205333531 is about 589.9564566160.

The spelling of 205333531 in words is "two hundred five million, three hundred thirty-three thousand, five hundred thirty-one".

Divisors: 1 13 17 221 227 2951 3859 4093 50167 53209 69581 904553 929111 12078443 15794887 205333531