Base | Representation |
---|---|
bin | 1100111011100000011… |
… | …1001101110000110110 |
3 | 210020100202222112002220 |
4 | 3032320013031300312 |
5 | 12114411322344342 |
6 | 250013544343210 |
7 | 22022433545316 |
oct | 3167007156066 |
9 | 706322875086 |
10 | 222132231222 |
11 | 86229943090 |
12 | 37073774b06 |
13 | 17c4068b395 |
14 | aa73643446 |
15 | 5ba14c25ec |
hex | 33b81cdc36 |
222132231222 has 96 divisors (see below), whose sum is σ = 498901890816. Its totient is φ = 65383344000.
The previous prime is 222132231199. The next prime is 222132231283.
222132231222 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2221322312222 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 222132231192 and 222132231201.
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, 18718863 + ... + 18730725.
It is an arithmetic number, because the mean of its divisors is an integer number (5196894696).
Almost surely, 2222132231222 is an apocalyptic number.
222132231222 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 222132231222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249450945408).
222132231222 is an abundant number, since it is smaller than the sum of its proper divisors (276769659594).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222132231222 is a wasteful number, since it uses less digits than its factorization.
222132231222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12086 (or 12033 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
It can be divided in two parts, 22213223 and 1222, that added together give a triangular number (22214445 = T6665).
The spelling of 222132231222 in words is "two hundred twenty-two billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred twenty-two".
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