Base | Representation |
---|---|
bin | 110010100001100101001100… |
… | …000111011100001110111110 |
3 | 1002010210001211222000100120200 |
4 | 302201211030013130032332 |
5 | 213111142040000342342 |
6 | 2104333510441424330 |
7 | 64543066643444205 |
oct | 6241451407341676 |
9 | 1063701758010520 |
10 | 222210000012222 |
11 | 64891806005582 |
12 | 20b0995349b0a6 |
13 | 96cb40bb19031 |
14 | 3cc304297a23c |
15 | 1aa52d323894c |
hex | ca194c1dc3be |
222210000012222 has 192 divisors, whose sum is σ = 525735815155200. Its totient is φ = 67587416582400.
The previous prime is 222210000012107. The next prime is 222210000012229.
222210000012222 is a `hidden beast` number, since 222 + 210 + 0 + 0 + 0 + 0 + 12 + 222 = 666.
222210000012222 is nontrivially palindromic in base 10.
222210000012222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 222210000012195 and 222210000012204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222210000012229) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10069776433 + ... + 10069798499.
It is an arithmetic number, because the mean of its divisors is an integer number (2738207370600).
Almost surely, 2222210000012222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222210000012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262867907577600).
222210000012222 is an abundant number, since it is smaller than the sum of its proper divisors (303525815142978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222210000012222 is a wasteful number, since it uses less digits than its factorization.
222210000012222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30111 (or 30108 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
It can be divided in two parts, 2222100000 and 12222, that added together give a palindrome (2222112222).
The spelling of 222210000012222 in words is "two hundred twenty-two trillion, two hundred ten billion, twelve thousand, two hundred twenty-two".
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