Base | Representation |
---|---|
bin | 11001010110000… |
… | …10011101101000 |
3 | 112211001122112200 |
4 | 30223002131220 |
5 | 413411440442 |
6 | 33032540200 |
7 | 5161100640 |
oct | 1453023550 |
9 | 484048480 |
10 | 212608872 |
11 | aa015213 |
12 | 5b251660 |
13 | 35080488 |
14 | 20345520 |
15 | 139ea34c |
hex | cac2768 |
212608872 has 96 divisors (see below), whose sum is σ = 686724480. Its totient is φ = 58101120.
The previous prime is 212608843. The next prime is 212608873. The reversal of 212608872 is 278806212.
It is a happy number.
It is a super-2 number, since 2×2126088722 = 90405064906224768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212608873) 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 23 ways as a sum of consecutive naturals, for example, 2422 + ... + 20762.
It is an arithmetic number, because the mean of its divisors is an integer number (7153380).
Almost surely, 2212608872 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212608872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343362240).
212608872 is an abundant number, since it is smaller than the sum of its proper divisors (474115608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212608872 is a wasteful number, since it uses less digits than its factorization.
212608872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18383 (or 18376 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 212608872 is about 14581.1135377241. The cubic root of 212608872 is about 596.8434898600.
The spelling of 212608872 in words is "two hundred twelve million, six hundred eight thousand, eight hundred seventy-two".
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