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4223140222224 = 2437111767213207
BaseRepresentation
bin111101011101000110110…
…001011101010100010000
3112221201122220101110202010
4331131012301131110100
51023142442344102344
612552030035222520
7614053231413630
oct75350661352420
915851586343663
104223140222224
111389029616270
12582581147a40
132483182612a1
141085887b06c0
1574cc0bdb8b9
hex3d746c5d510

4223140222224 has 160 divisors (see below), whose sum is σ = 14401908504576. Its totient is φ = 1032394844160.

The previous prime is 4223140222127. The next prime is 4223140222277. The reversal of 4223140222224 is 4222220413224.

It is a happy number.

4223140222224 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 2×42231402222242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4223140222191 and 4223140222200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33543772 + ... + 33669435.

Almost surely, 24223140222224 is an apocalyptic number.

4223140222224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4223140222224 is an abundant number, since it is smaller than the sum of its proper divisors (10178768282352).

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

4223140222224 is a wasteful number, since it uses less digits than its factorization.

4223140222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67213253 (or 67213247 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4223140222224 its reverse (4222220413224), we get a palindrome (8445360635448).

The spelling of 4223140222224 in words is "four trillion, two hundred twenty-three billion, one hundred forty million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 20944 31416 62832 67213207 134426414 201639621 268852828 403279242 470492449 537705656 739345277 806558484 940984898 1075411312 1142624519 1411477347 1478690554 1613116968 1881969796 2218035831 2285249038 2822954694 2957381108 3226233936 3427873557 3763939592 4436071662 4570498076 5175416939 5645909388 5914762216 6855747114 7527879184 7998371633 8872143324 9140996152 10350833878 11291818776 11829524432 12568869709 13711494228 15526250817 15996743266 17744286648 18281992304 20701667756 22583637552 23995114899 25137739418 27422988456 31052501634 31993486532 35488573296 37706609127 41403335512 47990229798 50275478836 54845976912 62105003268 63986973064 75413218254 82806671024 87982087963 95980459596 100550957672 124210006536 127973946128 150826436508 175964175926 191960919192 201101915344 248420013072 263946263889 301652873016 351928351852 383921838384 527892527778 603305746032 703856703704 1055785055556 1407713407408 2111570111112 4223140222224