Base | Representation |
---|---|
bin | 11011101010111… |
… | …01111011010100 |
3 | 121011202220210210 |
4 | 31311131323110 |
5 | 433410320040 |
6 | 35011045420 |
7 | 5515662516 |
oct | 1565357324 |
9 | 534686723 |
10 | 232120020 |
11 | 10a031230 |
12 | 658a0870 |
13 | 39122232 |
14 | 22b83bb6 |
15 | 155a1480 |
hex | dd5ded4 |
232120020 has 96 divisors (see below), whose sum is σ = 725598720. Its totient is φ = 54956160.
The previous prime is 232120013. The next prime is 232120037. The reversal of 232120020 is 20021232.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 232119978 and 232120005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24291 + ... + 32469.
It is an arithmetic number, because the mean of its divisors is an integer number (7558320).
Almost surely, 2232120020 is an apocalyptic number.
232120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362799360).
232120020 is an abundant number, since it is smaller than the sum of its proper divisors (493478700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232120020 is a wasteful number, since it uses less digits than its factorization.
232120020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8245 (or 8243 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 232120020 is about 15235.4855518293. The cubic root of 232120020 is about 614.5693064870.
Adding to 232120020 its reverse (20021232), we get a palindrome (252141252).
The spelling of 232120020 in words is "two hundred thirty-two million, one hundred twenty thousand, twenty".
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