Search a number
-
+
202322133 = 32131729249
BaseRepresentation
bin11000000111100…
…11000011010101
3112002201000210100
430003303003111
5403243302013
632024244313
75004465306
oct1403630325
9462630710
10202322133
11a4229682
1257910699
1332bbb250
141cc287ad
1512b67473
hexc0f30d5

202322133 has 12 divisors (see below), whose sum is σ = 314723500. Its totient is φ = 124505856.

The previous prime is 202322119. The next prime is 202322137. The reversal of 202322133 is 331223202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19342404 + 182979729 = 4398^2 + 13527^2 .

It is not a de Polignac number, because 202322133 - 25 = 202322101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202322137) 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 11 ways as a sum of consecutive naturals, for example, 864508 + ... + 864741.

Almost surely, 2202322133 is an apocalyptic number.

It is an amenable number.

202322133 is a deficient number, since it is larger than the sum of its proper divisors (112401367).

202322133 is a wasteful number, since it uses less digits than its factorization.

202322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729268 (or 1729265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 202322133 is about 14223.9984884701. The cubic root of 202322133 is about 587.0581635244.

Adding to 202322133 its reverse (331223202), we get a palindrome (533545335).

The spelling of 202322133 in words is "two hundred two million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 1729249 5187747 15563241 22480237 67440711 202322133