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231223332032 = 2671146920319
BaseRepresentation
bin1101011101010111111…
…1000000110011000000
3211002211100111021221022
43113111333000303000
512242021133111112
6254120022245012
722463633615360
oct3272577006300
9732740437838
10231223332032
118a0745a7740
1238990286768
1318a5bc87684
14b296bb09a0
156034696d72
hex35d5fc0cc0

231223332032 has 56 divisors (see below), whose sum is σ = 572052541440. Its totient is φ = 90087010560.

The previous prime is 231223332023. The next prime is 231223332071. The reversal of 231223332032 is 230233322132.

231223332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 231223331992 and 231223332010.

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 7 ways as a sum of consecutive naturals, for example, 23455232 + ... + 23465087.

Almost surely, 2231223332032 is an apocalyptic number.

231223332032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231223332032 is an abundant number, since it is smaller than the sum of its proper divisors (340829209408).

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

231223332032 is a wasteful number, since it uses less digits than its factorization.

231223332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46920349 (or 46920339 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 231223332032 its reverse (230233322132), we get a palindrome (461456654164).

The spelling of 231223332032 in words is "two hundred thirty-one billion, two hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 46920319 93840638 187681276 328442233 375362552 516123509 656884466 750725104 1032247018 1313768932 1501450208 2064494036 2627537864 3002900416 3612864563 4128988072 5255075728 7225729126 8257976144 10510151456 14451458252 16515952288 21020302912 28902916504 33031904576 57805833008 115611666016 231223332032