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222210212221120 = 26526912832012033
BaseRepresentation
bin110010100001100101011000…
…110000111101000011000000
31002010210002101202022200110111
4302201211120300331003000
5213111143003312033440
62104333543502041104
764543105131261064
oct6241453060750300
91063702352280414
10222210212221120
1164891904877232
1220b099b2579194
1396cb443a89426
143cc3062c19aa4
151aa52e6ba54ea
hexca1958c3d0c0

222210212221120 has 112 divisors (see below), whose sum is σ = 531519343705440. Its totient is φ = 88484596023296.

The previous prime is 222210212221087. The next prime is 222210212221121. The reversal of 222210212221120 is 21122212012222.

It is a junction number, because it is equal to n+sod(n) for n = 222210212221091 and 222210212221100.

It is not an unprimeable number, because it can be changed into a prime (222210212221121) 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 15 ways as a sum of consecutive naturals, for example, 109434624 + ... + 111446656.

Almost surely, 2222210212221120 is an apocalyptic number.

222210212221120 is a gapful number since it is divisible by the number (20) 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 222210212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265759671852720).

222210212221120 is an abundant number, since it is smaller than the sum of its proper divisors (309309131484320).

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

222210212221120 is a wasteful number, since it uses less digits than its factorization.

222210212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013602 (or 2013592 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222210212221120 its reverse (21122212012222), we get a palindrome (243332424233342).

The spelling of 222210212221120 in words is "two hundred twenty-two trillion, two hundred ten billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 269 320 538 1076 1283 1345 2152 2566 2690 4304 5132 5380 6415 8608 10264 10760 12830 17216 20528 21520 25660 41056 43040 51320 82112 86080 102640 205280 345127 410560 690254 1380508 1725635 2012033 2761016 3451270 4024066 5522032 6902540 8048132 10060165 11044064 13805080 16096264 20120330 22088128 27610160 32192528 40240660 55220320 64385056 80481320 110440640 128770112 160962640 321925280 541236877 643850560 1082473754 2164947508 2581438339 2706184385 4329895016 5162876678 5412368770 8659790032 10325753356 10824737540 12907191695 17319580064 20651506712 21649475080 25814383390 34639160128 41303013424 43298950160 51628766780 82606026848 86597900320 103257533560 165212053696 173195800640 206515067120 413030134240 694406913191 826060268480 1388813826382 2777627652764 3472034565955 5555255305528 6944069131910 11110510611056 13888138263820 22221021222112 27776276527640 44442042444224 55552553055280 111105106110560 222210212221120