Base | Representation |
---|---|
bin | 1000010100011100… |
… | …0001110011011000 |
3 | 12202122011221010000 |
4 | 2011013001303120 |
5 | 14033200241440 |
6 | 1005333253000 |
7 | 106224663336 |
oct | 20507016330 |
9 | 5678157100 |
10 | 2233212120 |
11 | a46654357 |
12 | 523a94160 |
13 | 29788c6b9 |
14 | 172844b56 |
15 | d10cc730 |
hex | 851c1cd8 |
2233212120 has 160 divisors (see below), whose sum is σ = 7901348400. Its totient is φ = 564164352.
The previous prime is 2233212073. The next prime is 2233212133. The reversal of 2233212120 is 212123322.
2233212120 is a `hidden beast` number, since 223 + 321 + 2 + 120 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2233212093 and 2233212102.
It is a congruent number.
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 39 ways as a sum of consecutive naturals, for example, 43422 + ... + 79698.
Almost surely, 22233212120 is an apocalyptic number.
2233212120 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 2233212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950674200).
2233212120 is an abundant number, since it is smaller than the sum of its proper divisors (5668136280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2233212120 is a wasteful number, since it uses less digits than its factorization.
2233212120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36319 (or 36306 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2233212120 is about 47256.8737857256. The cubic root of 2233212120 is about 1307.1035436404.
Adding to 2233212120 its reverse (212123322), we get a palindrome (2445335442).
The spelling of 2233212120 in words is "two billion, two hundred thirty-three million, two hundred twelve thousand, one hundred twenty".
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