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223031133 = 32137326113
BaseRepresentation
bin11010100101100…
…10111101011101
3120112200011012100
431102302331131
5424043444013
634044155313
75345506353
oct1522627535
9515604170
10223031133
11104993656
1262838b39
133728c2b0
14218997d3
15148a8473
hexd4b2f5d

223031133 has 24 divisors (see below), whose sum is σ = 351703352. Its totient is φ = 135364608.

The previous prime is 223031119. The next prime is 223031147. The reversal of 223031133 is 331130322.

It is an interprime number because it is at equal distance from previous prime (223031119) and next prime (223031147).

It can be written as a sum of positive squares in 4 ways, for example, as 19027044 + 204004089 = 4362^2 + 14283^2 .

It is not a de Polignac number, because 223031133 - 212 = 223027037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223031173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4516 + ... + 21597.

Almost surely, 2223031133 is an apocalyptic number.

It is an amenable number.

223031133 is a deficient number, since it is larger than the sum of its proper divisors (128672219).

223031133 is a wasteful number, since it uses less digits than its factorization.

223031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26205 (or 26202 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 223031133 is about 14934.2268966291. The cubic root of 223031133 is about 606.4409185360.

Adding to 223031133 its reverse (331130322), we get a palindrome (554161455).

It can be divided in two parts, 22303 and 1133, that added together give a triangular number (23436 = T216).

The spelling of 223031133 in words is "two hundred twenty-three million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 26113 78339 235017 339469 1018407 1906249 3055221 5718747 17156241 24781237 74343711 223031133