Base | Representation |
---|---|
bin | 11001010001101… |
… | …01111000011100 |
3 | 112202222101200000 |
4 | 30220311320130 |
5 | 413240024202 |
6 | 33012334300 |
7 | 5153152110 |
oct | 1450657034 |
9 | 482871600 |
10 | 212033052 |
11 | a9761630 |
12 | 5b014390 |
13 | 34c0b35a |
14 | 20235740 |
15 | 1393491c |
hex | ca35e1c |
212033052 has 144 divisors (see below), whose sum is σ = 693219072. Its totient is φ = 55054080.
The previous prime is 212033039. The next prime is 212033057. The reversal of 212033052 is 250330212.
212033052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212033057) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73428 + ... + 76260.
Almost surely, 2212033052 is an apocalyptic number.
212033052 is a gapful number since it is divisible by the number (22) 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 212033052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346609536).
212033052 is an abundant number, since it is smaller than the sum of its proper divisors (481186020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212033052 is a wasteful number, since it uses less digits than its factorization.
212033052 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2870 (or 2856 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 212033052 is about 14561.3547446658. The cubic root of 212033052 is about 596.3041816196.
Adding to 212033052 its reverse (250330212), we get a palindrome (462363264).
The spelling of 212033052 in words is "two hundred twelve million, thirty-three thousand, fifty-two".
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