Base | Representation |
---|---|
bin | 11001000011110… |
… | …01010010100000 |
3 | 112122112212122122 |
4 | 30201321102200 |
5 | 412303241000 |
6 | 32505323412 |
7 | 5131525655 |
oct | 1441712240 |
9 | 478485578 |
10 | 210212000 |
11 | a8728429 |
12 | 5a496568 |
13 | 347214cb |
14 | 1dcbdc2c |
15 | 136c5085 |
hex | c8794a0 |
210212000 has 48 divisors (see below), whose sum is σ = 516500712. Its totient is φ = 84083200.
The previous prime is 210211999. The next prime is 210212003. The reversal of 210212000 is 212012.
It can be written as a sum of positive squares in 4 ways, for example, as 113465104 + 96746896 = 10652^2 + 9836^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is not an unprimeable number, because it can be changed into a prime (210212003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22277 + ... + 30276.
Almost surely, 2210212000 is an apocalyptic number.
210212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
210212000 is an abundant number, since it is smaller than the sum of its proper divisors (306288712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210212000 is an equidigital number, since it uses as much as digits as its factorization.
210212000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52578 (or 52560 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 210212000 is about 14498.6895959600. The cubic root of 210212000 is about 594.5921456976.
Adding to 210212000 its reverse (212012), we get a palindrome (210424012).
The spelling of 210212000 in words is "two hundred ten million, two hundred twelve thousand".
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