Base | Representation |
---|---|
bin | 11001010001110… |
… | …10011110000100 |
3 | 112210000100110000 |
4 | 30220322132010 |
5 | 413241124334 |
6 | 33013001300 |
7 | 5153260644 |
oct | 1450723604 |
9 | 483010400 |
10 | 212051844 |
11 | a9774764 |
12 | 5b023230 |
13 | 34c16a84 |
14 | 2023c524 |
15 | 1393a299 |
hex | ca3a784 |
212051844 has 45 divisors (see below), whose sum is σ = 555031477. Its totient is φ = 70596576.
The previous prime is 212051821. The next prime is 212051849. The reversal of 212051844 is 448150212.
The square root of 212051844 is 14562.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 186650244 + 25401600 = 13662^2 + 5040^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (212051849) 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 14 ways as a sum of consecutive naturals, for example, 261712 + ... + 262520.
Almost surely, 2212051844 is an apocalyptic number.
212051844 is the 14562-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212051844
212051844 is an abundant number, since it is smaller than the sum of its proper divisors (342979633).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212051844 is an frugal number, since it uses more digits than its factorization.
212051844 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1634 (or 814 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
The cubic root of 212051844 is about 596.3217974536.
The spelling of 212051844 in words is "two hundred twelve million, fifty-one thousand, eight hundred forty-four".
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