Base | Representation |
---|---|
bin | 1000010001100110… |
… | …1011001011111000 |
3 | 12201210210220022020 |
4 | 2010121223023320 |
5 | 14022124314000 |
6 | 1004230354440 |
7 | 106021635231 |
oct | 20431531370 |
9 | 5653726266 |
10 | 2221323000 |
11 | a3a973936 |
12 | 51babba20 |
13 | 295289010 |
14 | 17102c088 |
15 | d002eba0 |
hex | 8466b2f8 |
2221323000 has 128 divisors (see below), whose sum is σ = 7463776320. Its totient is φ = 546777600.
The previous prime is 2221322963. The next prime is 2221323019. The reversal of 2221323000 is 3231222.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10522 + ... + 67478.
Almost surely, 22221323000 is an apocalyptic number.
2221323000 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 2221323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731888160).
2221323000 is an abundant number, since it is smaller than the sum of its proper divisors (5242453320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221323000 is a wasteful number, since it uses less digits than its factorization.
2221323000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56994 (or 56980 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 2221323000 is about 47130.9134220842. The cubic root of 2221323000 is about 1304.7798398436.
Adding to 2221323000 its reverse (3231222), we get a palindrome (2224554222).
It can be divided in two parts, 2221 and 323000, that added together give a triangular number (325221 = T806).
The spelling of 2221323000 in words is "two billion, two hundred twenty-one million, three hundred twenty-three thousand".
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