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22443122134422 = 232111740116627417
BaseRepresentation
bin1010001101001011100100…
…10100101000110110010110
32221110112121202210010101100
411012211302110220312112
510420202003231300142
6115422121124210530
74504314326355333
oct506456224506626
987415552703340
1022443122134422
117173090399040
122625764239a46
13c6a4ba0137c2
14578377d9798a
1528dbe53b0b4c
hex146972528d96

22443122134422 has 96 divisors (see below), whose sum is σ = 56307886431264. Its totient is φ = 6384927744000.

The previous prime is 22443122134291. The next prime is 22443122134481.

22443122134422 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 3 + 1 + 221 + 3 + 4 + 422 = 666.

22443122134422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×224431221344222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6963943 + ... + 9663474.

It is an arithmetic number, because the mean of its divisors is an integer number (586540483659).

Almost surely, 222443122134422 is an apocalyptic number.

22443122134422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22443122134422 is an abundant number, since it is smaller than the sum of its proper divisors (33864764296842).

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

22443122134422 is a wasteful number, since it uses less digits than its factorization.

22443122134422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16627854 (or 16627851 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2244312 and 2134422, that added together give a palindrome (4378734).

The spelling of 22443122134422 in words is "twenty-two trillion, four hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 401 561 802 1122 1203 1683 2406 3366 3609 4411 6817 7218 8822 13233 13634 20451 26466 39699 40902 61353 74987 79398 122706 149974 224961 449922 674883 1349766 16627417 33254834 49882251 99764502 149646753 182901587 282666089 299293506 365803174 548704761 565332178 847998267 1097409522 1646114283 1695996534 2543994801 3109326979 3292228566 5087989602 6218653958 6667594217 9327980937 13335188434 18655961874 20002782651 27983942811 40005565302 55967885622 60008347953 73343536387 113349101689 120016695906 146687072774 220030609161 226698203378 340047305067 440061218322 660091827483 680094610134 1020141915201 1246840118579 1320183654966 2040283830402 2493680237158 3740520355737 7481040711474 11221561067211 22443122134422