Search a number
-
+
222101242101222 = 2311237101179457339
BaseRepresentation
bin110010011111111111111001…
…101000111011110111100110
31002010101200010102211000222220
4302133333321220323313212
5213102401320434214342
62104211522502133210
764532166553450401
oct6237777150736746
91063350112730886
10222101242101222
116484a675aa9300
1220ab0860721206
1396c1098a5bc43
143cbba86720d38
151aa256a1e25ec
hexc9fff9a3bde6

222101242101222 has 192 divisors, whose sum is σ = 509246846035200. Its totient is φ = 64473681888000.

The previous prime is 222101242101209. The next prime is 222101242101229.

222101242101222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222101242101192 and 222101242101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101242101229) 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, 485409429 + ... + 485866767.

It is an arithmetic number, because the mean of its divisors is an integer number (2652327323100).

Almost surely, 2222101242101222 is an apocalyptic number.

222101242101222 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 222101242101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254623423017600).

222101242101222 is an abundant number, since it is smaller than the sum of its proper divisors (287145603933978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222101242101222 is a wasteful number, since it uses less digits than its factorization.

222101242101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457683 (or 457672 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 222101242101222 in words is "two hundred twenty-two trillion, one hundred one billion, two hundred forty-two million, one hundred one thousand, two hundred twenty-two".