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223232313330 = 232513190796849
BaseRepresentation
bin1100111111100110101…
…1101100011111110010
3210100012102222111001200
43033321223230133302
512124134433011310
6250315043112030
722061622232635
oct3177153543762
9710172874050
10223232313330
1186743904054
1237320072616
131808756a540
14ab397a3c1c
155c17d729c0
hex33f9aec7f2

223232313330 has 48 divisors (see below), whose sum is σ = 625050480600. Its totient is φ = 54949492224.

The previous prime is 223232313323. The next prime is 223232313331. The reversal of 223232313330 is 33313232322.

223232313330 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 323 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169372579401 + 53859733929 = 411549^2 + 232077^2 .

It is a super-3 number, since 3×2232323133303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223232313294 and 223232313303.

It is not an unprimeable number, because it can be changed into a prime (223232313331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95397255 + ... + 95399594.

Almost surely, 2223232313330 is an apocalyptic number.

223232313330 is an abundant number, since it is smaller than the sum of its proper divisors (401818167270).

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

223232313330 is a wasteful number, since it uses less digits than its factorization.

223232313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190796875 (or 190796872 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 223232313330 its reverse (33313232322), we get a palindrome (256545545652).

The spelling of 223232313330 in words is "two hundred twenty-three billion, two hundred thirty-two million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 190796849 381593698 572390547 953984245 1144781094 1717171641 1907968490 2480359037 2861952735 3434343282 4960718074 5723905470 7441077111 8585858205 12401795185 14882154222 17171716410 22323231333 24803590370 37205385555 44646462666 74410771110 111616156665 223232313330