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222232112322 = 231137613148457
BaseRepresentation
bin1100111011111000010…
…0001110110011000010
3210020121201221000012220
43032332010032303002
512120112410043242
6250031513231510
722025055534003
oct3167604166302
9706551830186
10222232112322
1186280263250
12370a1102596
1317c5828ca1c
14aa82a031aa
155baa151bec
hex33be10ecc2

222232112322 has 64 divisors (see below), whose sum is σ = 498790376064. Its totient is φ = 65415651840.

The previous prime is 222232112309. The next prime is 222232112353. The reversal of 222232112322 is 223211232222.

222232112322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2222321123222 (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 = 222232112292 and 222232112301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422718 + ... + 1571174.

It is an arithmetic number, because the mean of its divisors is an integer number (7793599626).

Almost surely, 2222232112322 is an apocalyptic number.

222232112322 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 222232112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249395188032).

222232112322 is an abundant number, since it is smaller than the sum of its proper divisors (276558263742).

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

222232112322 is a wasteful number, since it uses less digits than its factorization.

222232112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149123.

The product of its digits is 2304, while the sum is 24.

Adding to 222232112322 its reverse (223211232222), we get a palindrome (445443344544).

The spelling of 222232112322 in words is "two hundred twenty-two billion, two hundred thirty-two million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 613 814 1221 1226 1839 2442 3678 6743 13486 20229 22681 40458 45362 68043 136086 148457 249491 296914 445371 498982 748473 890742 1496946 1633027 3266054 4899081 5492909 9798162 10985818 16478727 32957454 60421999 91004141 120843998 181265997 182008282 273012423 362531994 546024846 1001045551 2002091102 3003136653 3367153217 6006273306 6734306434 10101459651 20202919302 37038685387 74077370774 111116056161 222232112322