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22420022002422 = 23113761672246393
BaseRepresentation
bin1010001100100000100010…
…11100101000001011110110
32221101022222212210211111220
411012100101130220023312
510414312201113034142
6115403341012211210
74502536021443612
oct506202134501366
987338885724456
1022420022002422
117164306a27a60
122621198009b06
13c68278295a45
145771c6082342
1528d2e23c22ec
hex1464117282f6

22420022002422 has 128 divisors (see below), whose sum is σ = 51824201753088. Its totient is φ = 6404912870400.

The previous prime is 22420022002421. The next prime is 22420022002447.

22420022002422 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22420022002392 and 22420022002401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420022002421) 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 63 ways as a sum of consecutive naturals, for example, 8857258 + ... + 11103650.

It is an arithmetic number, because the mean of its divisors is an integer number (404876576196).

Almost surely, 222420022002422 is an apocalyptic number.

22420022002422 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 22420022002422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25912100876544).

22420022002422 is an abundant number, since it is smaller than the sum of its proper divisors (29404179750666).

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

22420022002422 is a wasteful number, since it uses less digits than its factorization.

22420022002422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246574.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 2242002 and 2002422, that added together give a palindrome (4244424).

The spelling of 22420022002422 in words is "twenty-two trillion, four hundred twenty billion, twenty-two million, two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 61 66 67 74 111 122 134 183 201 222 366 402 407 671 737 814 1221 1342 1474 2013 2211 2257 2442 2479 4026 4087 4422 4514 4958 6771 7437 8174 12261 13542 14874 24522 24827 27269 44957 49654 54538 74481 81807 89914 134871 148962 151219 163614 269742 302438 453657 907314 1663409 2246393 3326818 4492786 4990227 6739179 9980454 13478358 24710323 49420646 74130969 83116541 137029973 148261938 150508331 166233082 249349623 274059946 301016662 411089919 451524993 498699246 822179838 903049986 914281951 1507329703 1655591641 1828563902 2742845853 3014659406 3311183282 4521989109 4966774923 5070109001 5485691706 5568808247 9043978218 9181008191 9933549846 10140218002 11137616494 15210327003 16706424741 18362016382 27543024573 30420654006 33412849482 55086049146 55771199011 61256890717 100991090101 111542398022 122513781434 167313597033 183770672151 201982180202 302973270303 334627194066 339697303067 367541344302 605946540606 679394606134 1019091909201 2038183818402 3736670333737 7473340667474 11210011001211 22420022002422