Base | Representation |
---|---|
bin | 11001010011110… |
… | …11111011110000 |
3 | 112210111222021010 |
4 | 30221323323300 |
5 | 413323214414 |
6 | 33022430520 |
7 | 5155455462 |
oct | 1451737360 |
9 | 483458233 |
10 | 212319984 |
11 | a9938168 |
12 | 5b132440 |
13 | 34cabb36 |
14 | 202ac132 |
15 | 1398e959 |
hex | ca7bef0 |
212319984 has 60 divisors (see below), whose sum is σ = 578927976. Its totient is φ = 67042944.
The previous prime is 212319979. The next prime is 212320001. The reversal of 212319984 is 489913212.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11202 + ... + 23454.
Almost surely, 2212319984 is an apocalyptic number.
212319984 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 212319984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289463988).
212319984 is an abundant number, since it is smaller than the sum of its proper divisors (366607992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212319984 is a wasteful number, since it uses less digits than its factorization.
212319984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12302 (or 12277 counting only the distinct ones).
The product of its digits is 31104, while the sum is 39.
The square root of 212319984 is about 14571.2039310415. The cubic root of 212319984 is about 596.5730416369.
The spelling of 212319984 in words is "two hundred twelve million, three hundred nineteen thousand, nine hundred eighty-four".
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