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220022001120020 = 225112234196413767
BaseRepresentation
bin110010000001101111011101…
…001110000011001100010100
31001212000220020120002021002012
4302001233131032003030110
5212314320024241320040
62055540413440003352
764226031203641451
oct6201573516031424
91055026216067065
10220022001120020
1164118896741500
12208158a3000558
13959cca76c7618
143c4919bc34828
151a684256c5865
hexc81bdd383314

220022001120020 has 144 divisors (see below), whose sum is σ = 542875846512384. Its totient is φ = 74662820390400.

The previous prime is 220022001119863. The next prime is 220022001120107. The reversal of 220022001120020 is 20021100220022.

It is a junction number, because it is equal to n+sod(n) for n = 220022001119977 and 220022001120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45924824 + ... + 50488943.

It is an arithmetic number, because the mean of its divisors is an integer number (3769971156336).

Almost surely, 2220022001120020 is an apocalyptic number.

220022001120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022001120020 is an abundant number, since it is smaller than the sum of its proper divisors (322853845392364).

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

220022001120020 is a wasteful number, since it uses less digits than its factorization.

220022001120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96413862 (or 96413849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220022001120020 its reverse (20021100220022), we get a palindrome (240043101340042).

The spelling of 220022001120020 in words is "two hundred twenty trillion, twenty-two billion, one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 41 44 46 55 82 92 110 115 121 164 205 220 230 242 253 410 451 460 484 506 605 820 902 943 1012 1210 1265 1804 1886 2255 2420 2530 2783 3772 4510 4715 4961 5060 5566 9020 9430 9922 10373 11132 13915 18860 19844 20746 24805 27830 41492 49610 51865 55660 99220 103730 114103 207460 228206 456412 570515 1141030 2282060 96413767 192827534 385655068 482068835 964137670 1060551437 1928275340 2121102874 2217516641 3952964447 4242205748 4435033282 5302757185 7905928894 8870066564 10605514370 11087583205 11666065807 15811857788 19764822235 21211028740 22175166410 23332131614 24392683051 39529644470 43482608917 44350332820 46664263228 48785366102 58330329035 79059288940 86965217834 90918182281 97570732204 116660658070 121963415255 173930435668 181836364562 217413044585 233321316140 243926830510 268319513561 363672729124 434826089170 454590911405 478308698087 487853661020 536639027122 869652178340 909181822810 956617396174 1000100005091 1073278054244 1341597567805 1818363645620 1913234792348 2000200010182 2391543490435 2683195135610 4000400020364 4783086980870 5000500025455 5366390271220 9566173961740 10001000050910 11001100056001 20002000101820 22002200112002 44004400224004 55005500280005 110011000560010 220022001120020