Base | Representation |
---|---|
bin | 11001010011010… |
… | …00101010000000 |
3 | 112210100221221200 |
4 | 30221220222000 |
5 | 413313203044 |
6 | 33021021200 |
7 | 5155006332 |
oct | 1451505200 |
9 | 483327850 |
10 | 212241024 |
11 | a9893906 |
12 | 5b0b4800 |
13 | 34c81c08 |
14 | 2028b452 |
15 | 13976369 |
hex | ca68a80 |
212241024 has 96 divisors (see below), whose sum is σ = 631905300. Its totient is φ = 68296704.
The previous prime is 212241019. The next prime is 212241031. The reversal of 212241024 is 420142212.
It can be written as a sum of positive squares in 2 ways, for example, as 212226624 + 14400 = 14568^2 + 120^2 .
It is a tau number, because it is divible by the number of its divisors (96).
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 = 212240988 and 212241006.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30232 + ... + 36584.
Almost surely, 2212241024 is an apocalyptic number.
212241024 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 212241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315952650).
212241024 is an abundant number, since it is smaller than the sum of its proper divisors (419664276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212241024 is a wasteful number, since it uses less digits than its factorization.
212241024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6402 (or 6387 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 212241024 is about 14568.4942255540. The cubic root of 212241024 is about 596.4990789838.
Adding to 212241024 its reverse (420142212), we get a palindrome (632383236).
The spelling of 212241024 in words is "two hundred twelve million, two hundred forty-one thousand, twenty-four".
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