Base | Representation |
---|---|
bin | 11001010001101… |
… | …11000010111100 |
3 | 112202222122012121 |
4 | 30220313002330 |
5 | 413240202240 |
6 | 33012412324 |
7 | 5153202031 |
oct | 1450670274 |
9 | 482878177 |
10 | 212037820 |
11 | a9765175 |
12 | 5b0170a4 |
13 | 34c10587 |
14 | 20237388 |
15 | 1393604a |
hex | ca370bc |
212037820 has 24 divisors (see below), whose sum is σ = 446577264. Its totient is φ = 84567936.
The previous prime is 212037811. The next prime is 212037827. The reversal of 212037820 is 28730212.
212037820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2120378202 = 89920074220704800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212037827) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8337 + ... + 22216.
It is an arithmetic number, because the mean of its divisors is an integer number (18607386).
Almost surely, 2212037820 is an apocalyptic number.
212037820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
212037820 is an abundant number, since it is smaller than the sum of its proper divisors (234539444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212037820 is a wasteful number, since it uses less digits than its factorization.
212037820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30909 (or 30907 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 25.
The square root of 212037820 is about 14561.5184647756. The cubic root of 212037820 is about 596.3086512954.
The spelling of 212037820 in words is "two hundred twelve million, thirty-seven thousand, eight hundred twenty".
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