Base | Representation |
---|---|
bin | 1101100001001000101… |
… | …1110010000001001010 |
3 | 211012102201221121110000 |
4 | 3120102023302001022 |
5 | 12301103211443310 |
6 | 254404141503430 |
7 | 22530646404345 |
oct | 3302213620112 |
9 | 735381847400 |
10 | 232233312330 |
11 | 8a5427178a8 |
12 | 39012571b76 |
13 | 18b902aa456 |
14 | b350d9945c |
15 | 609319a4c0 |
hex | 36122f204a |
232233312330 has 160 divisors (see below), whose sum is σ = 651754425168. Its totient is φ = 59278003200.
The previous prime is 232233312319. The next prime is 232233312361. The reversal of 232233312330 is 33213332232.
232233312330 is a `hidden beast` number, since 2 + 322 + 3 + 3 + 3 + 1 + 2 + 330 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 44386483761 + 187846828569 = 210681^2 + 433413^2 .
It is a super-2 number, since 2×2322333123302 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 232233312294 and 232233312303.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1694160 + ... + 1826100.
Almost surely, 2232233312330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232233312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325877212584).
232233312330 is an abundant number, since it is smaller than the sum of its proper divisors (419521112838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232233312330 is a wasteful number, since it uses less digits than its factorization.
232233312330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132054 (or 132045 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
Adding to 232233312330 its reverse (33213332232), we get a palindrome (265446644562).
The spelling of 232233312330 in words is "two hundred thirty-two billion, two hundred thirty-three million, three hundred twelve thousand, three hundred thirty".
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