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230663366032 = 24111780879533
BaseRepresentation
bin1101011011010010011…
…0111010010110010000
3211001101022211001222211
43112310212322112100
512234344310203112
6253544300241504
722444024155421
oct3266446722620
9731338731884
10230663366032
1189907502a20
1238854840294
131899cc67c48
14b242689648
1560004360a7
hex35b49ba590

230663366032 has 80 divisors (see below), whose sum is σ = 516335202432. Its totient is φ = 98656962560.

The previous prime is 230663365991. The next prime is 230663366047.

It is a happy number.

230663366032 is nontrivially palindromic in base 10.

230663366032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2306633660322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24191538 + ... + 24201070.

Almost surely, 2230663366032 is an apocalyptic number.

230663366032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230663366032 is an abundant number, since it is smaller than the sum of its proper divisors (285671836400).

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

230663366032 is a wasteful number, since it uses less digits than its factorization.

230663366032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17656 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 40.

It can be divided in two parts, 230663 and 366032, that added together give a palindrome (596695).

The spelling of 230663366032 in words is "two hundred thirty billion, six hundred sixty-three million, three hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 8087 9533 16174 19066 32348 38132 64696 76264 88957 104863 129392 137479 152528 162061 177914 209726 274958 324122 355828 419452 549916 648244 711656 838904 1099832 1296488 1423312 1512269 1677808 1782671 2199664 2592976 3024538 3565342 6049076 7130684 12098152 14261368 24196304 28522736 77093371 154186742 308373484 616746968 848027081 1233493936 1310587307 1696054162 2621174614 3392108324 5242349228 6784216648 10484698456 13568433296 14416460377 20969396912 28832920754 57665841508 115331683016 230663366032