Base | Representation |
---|---|
bin | 11001010011011… |
… | …10000100100000 |
3 | 112210102002101000 |
4 | 30221232010200 |
5 | 413314410300 |
6 | 33021312000 |
7 | 5155131102 |
oct | 1451560440 |
9 | 483362330 |
10 | 212263200 |
11 | a98a9536 |
12 | 5b105600 |
13 | 34c8c036 |
14 | 20295572 |
15 | 1397cc00 |
hex | ca6e120 |
212263200 has 288 divisors, whose sum is σ = 794949120. Its totient is φ = 54604800.
The previous prime is 212263199. The next prime is 212263201. The reversal of 212263200 is 2362212.
It is an interprime number because it is at equal distance from previous prime (212263199) and next prime (212263201).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (212263201) 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 47 ways as a sum of consecutive naturals, for example, 669442 + ... + 669758.
It is an arithmetic number, because the mean of its divisors is an integer number (2760240).
Almost surely, 2212263200 is an apocalyptic number.
212263200 is a gapful number since it is divisible by the number (20) 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 212263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397474560).
212263200 is an abundant number, since it is smaller than the sum of its proper divisors (582685920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212263200 is a wasteful number, since it uses less digits than its factorization.
212263200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 377 (or 358 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 212263200 is about 14569.2553001174. The cubic root of 212263200 is about 596.5198533259.
The spelling of 212263200 in words is "two hundred twelve million, two hundred sixty-three thousand, two hundred".
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