Base | Representation |
---|---|
bin | 10010100111000… |
… | …100110000111100 |
3 | 210202112002011221 |
4 | 102213010300330 |
5 | 1114412424040 |
6 | 50552123124 |
7 | 10510636231 |
oct | 2247046074 |
9 | 722462157 |
10 | 312233020 |
11 | 15027a320 |
12 | 886964a4 |
13 | 4c8c1b88 |
14 | 2d679788 |
15 | 1c62874a |
hex | 129c4c3c |
312233020 has 48 divisors (see below), whose sum is σ = 719768448. Its totient is φ = 112829760.
The previous prime is 312233003. The next prime is 312233021. The reversal of 312233020 is 20332213.
It is a junction number, because it is equal to n+sod(n) for n = 312232985 and 312233003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312233021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31507 + ... + 40213.
It is an arithmetic number, because the mean of its divisors is an integer number (14995176).
Almost surely, 2312233020 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 312233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359884224).
312233020 is an abundant number, since it is smaller than the sum of its proper divisors (407535428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312233020 is a wasteful number, since it uses less digits than its factorization.
312233020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8890 (or 8888 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 312233020 is about 17670.1165813924. The cubic root of 312233020 is about 678.4110970311.
Adding to 312233020 its reverse (20332213), we get a palindrome (332565233).
It can be divided in two parts, 31223 and 3020, that added together give a palindrome (34243).
The spelling of 312233020 in words is "three hundred twelve million, two hundred thirty-three thousand, twenty".
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