Base | Representation |
---|---|
bin | 11010011101101… |
… | …11001111100100 |
3 | 120110201202212221 |
4 | 31032313033210 |
5 | 423313000400 |
6 | 34010122124 |
7 | 5333653420 |
oct | 1516671744 |
9 | 513652787 |
10 | 222000100 |
11 | 104349a63 |
12 | 62420344 |
13 | 36cbac0a |
14 | 216abb80 |
15 | 14752c1a |
hex | d3b73e4 |
222000100 has 72 divisors (see below), whose sum is σ = 557339328. Its totient is φ = 75177600.
The previous prime is 222000061. The next prime is 222000101. The reversal of 222000100 is 1000222.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (7).
It is not an unprimeable number, because it can be changed into a prime (222000101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56190 + ... + 60010.
It is an arithmetic number, because the mean of its divisors is an integer number (7740824).
Almost surely, 2222000100 is an apocalyptic number.
222000100 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 222000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278669664).
222000100 is an abundant number, since it is smaller than the sum of its proper divisors (335339228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222000100 is a wasteful number, since it uses less digits than its factorization.
222000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3925 (or 3918 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 7.
The square root of 222000100 is about 14899.6677815312. The cubic root of 222000100 is about 605.5049855677.
Adding to 222000100 its reverse (1000222), we get a palindrome (223000322).
The spelling of 222000100 in words is "two hundred twenty-two million, one hundred", and thus it is an aban number.
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