Base | Representation |
---|---|
bin | 11001010001101… |
… | …10000111101000 |
3 | 112202222110000000 |
4 | 30220312013220 |
5 | 413240042044 |
6 | 33012343000 |
7 | 5153154666 |
oct | 1450660750 |
9 | 482873000 |
10 | 212034024 |
11 | a9762334 |
12 | 5b014a60 |
13 | 34c0b927 |
14 | 20235c36 |
15 | 13934d69 |
hex | ca361e8 |
212034024 has 64 divisors (see below), whose sum is σ = 596304000. Its totient is φ = 70672176.
The previous prime is 212033999. The next prime is 212034037. The reversal of 212034024 is 420430212.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 212033988 and 212034006.
It is an unprimeable number.
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, 11437 + ... + 23555.
It is an arithmetic number, because the mean of its divisors is an integer number (9317250).
Almost surely, 2212034024 is an apocalyptic number.
212034024 is a gapful number since it is divisible by the number (24) 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 212034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298152000).
212034024 is an abundant number, since it is smaller than the sum of its proper divisors (384269976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212034024 is an equidigital number, since it uses as much as digits as its factorization.
212034024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12146 (or 12124 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 212034024 is about 14561.3881206429. The cubic root of 212034024 is about 596.3050928089.
Adding to 212034024 its reverse (420430212), we get a palindrome (632464236).
The spelling of 212034024 in words is "two hundred twelve million, thirty-four thousand, twenty-four".
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