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22444111144422 = 232111011499748711
BaseRepresentation
bin1010001101001101011010…
…10001011010010111100110
32221110122011200210001001100
411012212231101122113212
510420211014423110142
6115422403214140530
74504350665664402
oct506465521322746
987418150701040
1022444111144422
117173548695980
12262599b4b1746
13c6a616ba3616
1457842d484102
1528dc52120b4c
hex1469ad45a5e6

22444111144422 has 96 divisors (see below), whose sum is σ = 53610774048000. Its totient is φ = 6729405480000.

The previous prime is 22444111144397. The next prime is 22444111144447.

22444111144422 is a `hidden beast` number, since 2 + 2 + 44 + 41 + 11 + 144 + 422 = 666.

22444111144422 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22444111144397) and next prime (22444111144447).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29602647 + ... + 30351357.

It is an arithmetic number, because the mean of its divisors is an integer number (558445563000).

Almost surely, 222444111144422 is an apocalyptic number.

22444111144422 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 22444111144422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805387024000).

22444111144422 is an abundant number, since it is smaller than the sum of its proper divisors (31166662903578).

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

22444111144422 is a wasteful number, since it uses less digits than its factorization.

22444111144422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750330 (or 750327 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 2244411 and 1144422, that added together give a palindrome (3388833).

The spelling of 22444111144422 in words is "twenty-two trillion, four hundred forty-four billion, one hundred eleven million, one hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1499 1818 2222 2998 3333 4497 6666 8994 9999 13491 16489 19998 26982 32978 49467 98934 148401 151399 296802 302798 454197 748711 908394 1362591 1497422 1665389 2246133 2725182 3330778 4492266 4996167 6738399 8235821 9992334 13476798 14988501 16471642 24707463 29977002 49414926 74122389 75619811 148244778 151239622 226859433 453718866 680578299 831817921 1122317789 1361156598 1663635842 2244635578 2495453763 3366953367 4990907526 6733906734 7486361289 10100860101 12345495679 14972722578 20201720202 24690991358 37036487037 74072974074 111109461111 113354096689 222218922222 226708193378 340062290067 680124580134 1020186870201 1246895063579 2040373740402 2493790127158 3740685190737 7481370381474 11222055572211 22444111144422