Search a number
-
+
232322013 = 347111932
BaseRepresentation
bin11011101100011…
…11001111011101
3121012011011220000
431312033033131
5433433301023
635015244513
75520463440
oct1566171735
9535134800
10232322013
1110a159a70
1265979739
1339193161
1422bd7657
15155e1243
hexdd8f3dd

232322013 has 60 divisors (see below), whose sum is σ = 434937888. Its totient is φ = 120061440.

The previous prime is 232321993. The next prime is 232322021. The reversal of 232322013 is 310223232.

It is a happy number.

It is not a de Polignac number, because 232322013 - 25 = 232321981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232322023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1203645 + ... + 1203837.

Almost surely, 2232322013 is an apocalyptic number.

It is an amenable number.

232322013 is a deficient number, since it is larger than the sum of its proper divisors (202615875).

232322013 is an equidigital number, since it uses as much as digits as its factorization.

232322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 214 counting only the distinct ones).

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

The square root of 232322013 is about 15242.1131409001. The cubic root of 232322013 is about 614.7475227770.

Adding to 232322013 its reverse (310223232), we get a palindrome (542545245).

It can be divided in two parts, 2323 and 22013, that added together give a square (24336 = 1562).

The spelling of 232322013 in words is "two hundred thirty-two million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 193 231 297 567 579 693 891 1351 1737 2079 2123 4053 5211 6237 6369 12159 14861 15633 19107 36477 37249 44583 57321 109431 111747 133749 171963 260743 335241 401247 409739 782229 1005723 1203741 1229217 2346687 2868173 3017169 3687651 7040061 8604519 11062953 21120183 25813557 33188859 77440671 232322013