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222330023322 = 231117593334157
BaseRepresentation
bin1100111100001111100…
…1101110110110011010
3210020212120011101212020
43033003321232312122
512120312441221242
6250045331555310
722030355005551
oct3170371566632
9706776141766
10222330023322
1186320558230
1237109a5bb36
1317c72651724
14aa91a0cd98
155bb3a426ec
hex33c3e6ed9a

222330023322 has 64 divisors (see below), whose sum is σ = 514485696384. Its totient is φ = 63302512640.

The previous prime is 222330023317. The next prime is 222330023329. The reversal of 222330023322 is 223320033222.

222330023322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2223300233222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222330023292 and 222330023301.

It is not an unprimeable number, because it can be changed into a prime (222330023329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498268 + ... + 832424.

It is an arithmetic number, because the mean of its divisors is an integer number (8038839006).

Almost surely, 2222330023322 is an apocalyptic number.

222330023322 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 222330023322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257242848192).

222330023322 is an abundant number, since it is smaller than the sum of its proper divisors (292155673062).

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

222330023322 is a wasteful number, since it uses less digits than its factorization.

222330023322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334783.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 222330023322 its reverse (223320033222), we get a palindrome (445650056544).

The spelling of 222330023322 in words is "two hundred twenty-two billion, three hundred thirty million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 593 1122 1186 1779 3558 6523 10081 13046 19569 20162 30243 39138 60486 110891 221782 332673 334157 665346 668314 1002471 2004942 3675727 5680669 7351454 11027181 11361338 17042007 22054362 34084014 62487359 124974718 187462077 198155101 374924154 396310202 594465303 1188930606 2179706111 3368636717 4359412222 6539118333 6737273434 10105910151 13078236666 20211820302 37055003887 74110007774 111165011661 222330023322