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22200011221212 = 223211372815392001
BaseRepresentation
bin1010000110000110101111…
…10010000110100011011100
32220121022002221201010201200
411003003113302012203130
510402211110333034322
6115114313325435500
74450616654610606
oct503032762064334
986538087633650
1022200011221212
117089a76643750
1225a6616a0bb90
13c505b5295936
1456a6b44b0176
152877172a28ac
hex1430d7c868dc

22200011221212 has 144 divisors (see below), whose sum is σ = 63096517227744. Its totient is φ = 6522163200000.

The previous prime is 22200011221183. The next prime is 22200011221217. The reversal of 22200011221212 is 21212211000222.

It is a happy number.

22200011221212 is a `hidden beast` number, since 2 + 220 + 0 + 0 + 11 + 221 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200011221217) 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, 1421212 + ... + 6813212.

It is an arithmetic number, because the mean of its divisors is an integer number (438170258526).

Almost surely, 222200011221212 is an apocalyptic number.

22200011221212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200011221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31548258613872).

22200011221212 is an abundant number, since it is smaller than the sum of its proper divisors (40896506006532).

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

22200011221212 is a wasteful number, since it uses less digits than its factorization.

22200011221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392340 (or 5392335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22200011221212 its reverse (21212211000222), we get a palindrome (43412222221434).

The spelling of 22200011221212 in words is "twenty-two trillion, two hundred billion, eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 281 333 396 407 444 562 666 814 843 1124 1221 1332 1628 1686 2442 2529 3091 3372 3663 4884 5058 6182 7326 9273 10116 10397 12364 14652 18546 20794 27819 31191 37092 41588 55638 62382 93573 111276 114367 124764 187146 228734 343101 374292 457468 686202 1029303 1372404 2058606 4117212 5392001 10784002 16176003 21568004 32352006 48528009 59312011 64704012 97056018 118624022 177936033 194112036 199504037 237248044 355872066 399008074 533808099 598512111 711744132 798016148 1067616198 1197024222 1515152281 1795536333 2135232396 2194544407 2394048444 3030304562 3591072666 4389088814 4545456843 6060609124 6583633221 7182145332 8778177628 9090913686 13167266442 13636370529 16666675091 18181827372 19750899663 26334532884 27272741058 33333350182 39501799326 50000025273 54545482116 56060634397 66666700364 79003598652 100000050546 112121268794 150000075819 168181903191 200000101092 224242537588 300000151638 336363806382 504545709573 600000303276 616666978367 672727612764 1009091419146 1233333956734 1850000935101 2018182838292 2466667913468 3700001870202 5550002805303 7400003740404 11100005610606 22200011221212