Base | Representation |
---|---|
bin | 1000010001100101… |
… | …0101011010100100 |
3 | 12201210122100222120 |
4 | 2010121111122210 |
5 | 14022113440303 |
6 | 1004224425540 |
7 | 106021114242 |
oct | 20431253244 |
9 | 5653570876 |
10 | 2221233828 |
11 | a3a912940 |
12 | 51ba782b0 |
13 | 295257558 |
14 | 171007792 |
15 | d0013553 |
hex | 846556a4 |
2221233828 has 96 divisors (see below), whose sum is σ = 5737374720. Its totient is φ = 663258240.
The previous prime is 2221233803. The next prime is 2221233919. The reversal of 2221233828 is 8283321222.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (33).
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 31 ways as a sum of consecutive naturals, for example, 3783751 + ... + 3784337.
It is an arithmetic number, because the mean of its divisors is an integer number (59764320).
Almost surely, 22221233828 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 2221233828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868687360).
2221233828 is an abundant number, since it is smaller than the sum of its proper divisors (3516140892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221233828 is a wasteful number, since it uses less digits than its factorization.
2221233828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 977 (or 975 counting only the distinct ones).
The product of its digits is 18432, while the sum is 33.
The square root of 2221233828 is about 47129.9674092822. The cubic root of 2221233828 is about 1304.7623800707.
The spelling of 2221233828 in words is "two billion, two hundred twenty-one million, two hundred thirty-three thousand, eight hundred twenty-eight".
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