Base | Representation |
---|---|
bin | 1000010001100100… |
… | …1101011100110000 |
3 | 12201210120201020010 |
4 | 2010121031130300 |
5 | 14022111414300 |
6 | 1004224014520 |
7 | 106020620151 |
oct | 20431153460 |
9 | 5653521203 |
10 | 2221201200 |
11 | a3a8a0379 |
12 | 51ba61440 |
13 | 29524574a |
14 | 170dd9928 |
15 | d0008a50 |
hex | 8464d730 |
2221201200 has 120 divisors (see below), whose sum is σ = 7266820608. Its totient is φ = 579703040.
The previous prime is 2221201183. The next prime is 2221201207. The reversal of 2221201200 is 21021222.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (2221201207) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 36709 + ... + 76091.
Almost surely, 22221201200 is an apocalyptic number.
2221201200 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 2221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633410304).
2221201200 is an abundant number, since it is smaller than the sum of its proper divisors (5045619408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221201200 is a wasteful number, since it uses less digits than its factorization.
2221201200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39451 (or 39440 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 2221201200 is about 47129.6212588219. The cubic root of 2221201200 is about 1304.7559914299.
Adding to 2221201200 its reverse (21021222), we get a palindrome (2242222422).
The spelling of 2221201200 in words is "two billion, two hundred twenty-one million, two hundred one thousand, two hundred".
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