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22012212200220 = 223251137300466997
BaseRepresentation
bin1010000000101000111100…
…00101101100001100011100
32212221100100220201101221200
411000110132011230030130
510341122002310401340
6114452134244555500
74431221065353144
oct500243605541434
985840326641850
1022012212200220
117017365a25680
1225761453b2b90
13c38986949088
1456157a9a5924
152828c504d330
hex14051e16c31c

22012212200220 has 144 divisors (see below), whose sum is σ = 74809071294048. Its totient is φ = 5192069690880.

The previous prime is 22012212200191. The next prime is 22012212200221. The reversal of 22012212200220 is 2200221221022.

22012212200220 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 221 + 220 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22012212200193 and 22012212200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012212200221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150160239 + ... + 150306758.

It is an arithmetic number, because the mean of its divisors is an integer number (519507439542).

Almost surely, 222012212200220 is an apocalyptic number.

22012212200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012212200220 is an abundant number, since it is smaller than the sum of its proper divisors (52796859093828).

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

22012212200220 is a wasteful number, since it uses less digits than its factorization.

22012212200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300467060 (or 300467055 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22012212200220 its reverse (2200221221022), we get a palindrome (24212433421242).

The spelling of 22012212200220 in words is "twenty-two trillion, twelve billion, two hundred twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 300466997 600933994 901400991 1201867988 1502334985 1802801982 2704202973 3004669970 3305136967 3605603964 4507004955 5408405946 6009339940 6610273934 9014009910 9915410901 10816811892 11117278889 13220547868 13521014865 16525684835 18028019820 19830821802 22234557778 27042029730 29746232703 33051369670 33351836667 39661643604 44469115556 49577054505 54084059460 55586394445 59492465406 66102739340 66703673334 99154109010 100055510001 111172788890 118984930812 122290067779 133407346668 148731163515 166759183335 198308218020 200111020002 222345577780 244580135558 297462327030 333518366670 366870203337 400222040004 489160271116 500277550005 594924654060 611450338895 667036733340 733740406674 1000555100010 1100610610011 1222900677790 1467480813348 1834351016685 2001110200020 2201221220022 2445801355580 3668702033370 4402442440044 5503053050055 7337404066740 11006106100110 22012212200220