Base | Representation |
---|---|
bin | 110010011111111111101100… |
… | …011010000100101001100110 |
3 | 1002010101122112222002021020200 |
4 | 302133333230122010221212 |
5 | 213102400342121214342 |
6 | 2104211444452011330 |
7 | 64532161216464153 |
oct | 6237775432045146 |
9 | 1063348488067220 |
10 | 222101020101222 |
11 | 6484a57175a429 |
12 | 20ab07ba300b46 |
13 | 96c1061a710b2 |
14 | 3cbba6505322a |
15 | 1aa255598e94c |
hex | c9ffec684a66 |
222101020101222 has 384 divisors, whose sum is σ = 522665461334016. Its totient is φ = 68050005037056.
The previous prime is 222101020101199. The next prime is 222101020101227.
It is a happy number.
222101020101222 is a `hidden beast` number, since 22 + 210 + 10 + 201 + 0 + 1 + 222 = 666.
222101020101222 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 = 222101020101195 and 222101020101204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222101020101227) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23771912283 + ... + 23771921625.
It is an arithmetic number, because the mean of its divisors is an integer number (1361107972224).
Almost surely, 2222101020101222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222101020101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261332730667008).
222101020101222 is an abundant number, since it is smaller than the sum of its proper divisors (300564441232794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222101020101222 is a wasteful number, since it uses less digits than its factorization.
222101020101222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9724 (or 9721 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The spelling of 222101020101222 in words is "two hundred twenty-two trillion, one hundred one billion, twenty million, one hundred one thousand, two hundred twenty-two".
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