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220030131222 = 2321159105117921
BaseRepresentation
bin1100110011101011010…
…0010101110000010110
3210000221021111210000100
43030322310111300112
512101110203144342
6245025213154530
721616360154016
oct3147264256026
9700837453010
10220030131222
1185350300260
123678778ba46
1317997016725
14a9143abc46
155acbb92e4c
hex333ad15c16

220030131222 has 96 divisors (see below), whose sum is σ = 529418747520. Its totient is φ = 65479680000.

The previous prime is 220030131197. The next prime is 220030131227. The reversal of 220030131222 is 222131030022.

220030131222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220030131195 and 220030131204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220030131227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12268822 + ... + 12286742.

It is an arithmetic number, because the mean of its divisors is an integer number (5514778620).

Almost surely, 2220030131222 is an apocalyptic number.

220030131222 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 220030131222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264709373760).

220030131222 is an abundant number, since it is smaller than the sum of its proper divisors (309388616298).

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

220030131222 is a wasteful number, since it uses less digits than its factorization.

220030131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19050 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220030131222 its reverse (222131030022), we get a palindrome (442161161244).

The spelling of 220030131222 in words is "two hundred twenty billion, thirty million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1051 1062 1298 1947 2102 3153 3894 5841 6306 9459 11561 11682 17921 18918 23122 34683 35842 53763 62009 69366 104049 107526 124018 161289 186027 197131 208098 322578 372054 394262 558081 591393 682099 1057339 1116162 1182786 1364198 1774179 2046297 2114678 3172017 3548358 4092594 6138891 6344034 9516051 11630729 12277782 18834971 19032102 23261458 34892187 37669942 56504913 69784374 104676561 113009826 169514739 207184681 209353122 339029478 414369362 621554043 1111263289 1243108086 1864662129 2222526578 3333789867 3729324258 6667579734 10001369601 12223896179 20002739202 24447792358 36671688537 73343377074 110015065611 220030131222