Base | Representation |
---|---|
bin | 1100010110100011100… |
… | …1001000010001000000 |
3 | 202021202111120201210111 |
4 | 3011220321020101000 |
5 | 11434103040012112 |
6 | 241253413241104 |
7 | 21221561320564 |
oct | 3055071102100 |
9 | 667674521714 |
10 | 212213204032 |
11 | 81aa9904155 |
12 | 35165933194 |
13 | 1701c6b201b |
14 | a3b215b6a4 |
15 | 57c07ab5a7 |
hex | 3168e48440 |
212213204032 has 56 divisors (see below), whose sum is σ = 425471901912. Its totient is φ = 105008640000.
The previous prime is 212213204017. The next prime is 212213204143. The reversal of 212213204032 is 230402312212.
It can be written as a sum of positive squares in 4 ways, for example, as 206392124416 + 5821079616 = 454304^2 + 76296^2 .
It is a super-2 number, since 2×2122132040322 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 212213203994 and 212213204012.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 17530782 + ... + 17542882.
Almost surely, 2212213204032 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 212213204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212735950956).
212213204032 is an abundant number, since it is smaller than the sum of its proper divisors (213258697880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212213204032 is a wasteful number, since it uses less digits than its factorization.
212213204032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14927 (or 14917 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
Adding to 212213204032 its reverse (230402312212), we get a palindrome (442615516244).
The spelling of 212213204032 in words is "two hundred twelve billion, two hundred thirteen million, two hundred four thousand, thirty-two".
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