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22145044020240 = 2435238348334739
BaseRepresentation
bin1010000100100000010110…
…11110110111110000010000
32220102001020012020000100110
411002100023132313300100
510400311022232121430
6115033143123521320
74443632556244431
oct502201336676020
986361205200313
1022145044020240
11706872a036029
122597a36529240
13c4836540c34b
14567b7c1b9488
1528609b7d47b0
hex14240b7b7c10

22145044020240 has 160 divisors (see below), whose sum is σ = 72497469864960. Its totient is φ = 5580535510528.

The previous prime is 22145044020149. The next prime is 22145044020241. The reversal of 22145044020240 is 4202044054122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22145044020198 and 22145044020207.

It is not an unprimeable number, because it can be changed into a prime (22145044020241) 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 31 ways as a sum of consecutive naturals, for example, 23709210 + ... + 24625529.

It is an arithmetic number, because the mean of its divisors is an integer number (453109186656).

Almost surely, 222145044020240 is an apocalyptic number.

22145044020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145044020240 is an abundant number, since it is smaller than the sum of its proper divisors (50352425844720).

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

22145044020240 is a wasteful number, since it uses less digits than its factorization.

22145044020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48334861 (or 48334855 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 22145044020240 its reverse (4202044054122), we get a palindrome (26347088074362).

The spelling of 22145044020240 in words is "twenty-two trillion, one hundred forty-five billion, forty-four million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 83 92 115 120 138 166 184 230 240 249 276 332 345 368 415 460 498 552 664 690 830 920 996 1104 1245 1328 1380 1660 1840 1909 1992 2490 2760 3320 3818 3984 4980 5520 5727 6640 7636 9545 9960 11454 15272 19090 19920 22908 28635 30544 38180 45816 57270 76360 91632 114540 152720 229080 458160 48334739 96669478 145004217 193338956 241673695 290008434 386677912 483347390 580016868 725021085 773355824 966694780 1111698997 1160033736 1450042170 1933389560 2223397994 2320067472 2900084340 3335096991 3866779120 4011783337 4446795988 5558494985 5800168680 6670193982 8023566674 8893591976 11116989970 11600337360 12035350011 13340387964 16047133348 16675484955 17787183952 20058916685 22233979940 24070700022 26680775928 32094266696 33350969910 40117833370 44467959880 48141400044 53361551856 60176750055 64188533392 66701939820 80235666740 88935919760 92271016751 96282800088 120353500110 133403879640 160471333480 184542033502 192565600176 240707000220 266807759280 276813050253 320942666960 369084067004 461355083755 481414000440 553626100506 738168134008 922710167510 962828000880 1107252201012 1384065251265 1476336268016 1845420335020 2214504402024 2768130502530 3690840670040 4429008804048 5536261005060 7381681340080 11072522010120 22145044020240