Base | Representation |
---|---|
bin | 1100111011011101100… |
… | …0101000110011100110 |
3 | 210020022221000012010200 |
4 | 3032313120220303212 |
5 | 12114400211134342 |
6 | 250012430531330 |
7 | 22022225012541 |
oct | 3166730506346 |
9 | 706287005120 |
10 | 222120021222 |
11 | 86222a63580 |
12 | 3706b666b46 |
13 | 17c3aca4928 |
14 | aa71b85858 |
15 | 5ba03ae94c |
hex | 33b7628ce6 |
222120021222 has 96 divisors (see below), whose sum is σ = 536817939840. Its totient is φ = 65812124160.
The previous prime is 222120021181. The next prime is 222120021311.
222120021222 is a `hidden beast` number, since 2 + 221 + 200 + 21 + 222 = 666.
222120021222 is nontrivially palindromic in base 10.
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 = 222120021195 and 222120021204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1524429 + ... + 1663767.
It is an arithmetic number, because the mean of its divisors is an integer number (5591853540).
Almost surely, 2222120021222 is an apocalyptic number.
222120021222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 222120021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268408969920).
222120021222 is an abundant number, since it is smaller than the sum of its proper divisors (314697918618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222120021222 is a wasteful number, since it uses less digits than its factorization.
222120021222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 139538 (or 139535 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, 2221200 and 21222, that added together give a palindrome (2242422).
The spelling of 222120021222 in words is "two hundred twenty-two billion, one hundred twenty million, twenty-one thousand, two hundred twenty-two".
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