Search a number
-
+
222022111111020 = 22355114153051087
BaseRepresentation
bin110010011110110110001101…
…000100001010011101101100
31002010010002212122220020100000
4302132312031010022131230
5213100102240421023040
62104111314430304300
764523365613233143
oct6236661504123554
91063102778806300
10222022111111020
116481a059688140
1220a99457958090
1396b679798cc0c
143cb7cdb15675a
151aa048817d130
hexc9ed8d10a76c

222022111111020 has 144 divisors (see below), whose sum is σ = 761902140400128. Its totient is φ = 53823542074560.

The previous prime is 222022111110977. The next prime is 222022111111027. The reversal of 222022111111020 is 20111111220222.

222022111111020 is a `hidden beast` number, since 2 + 220 + 221 + 111 + 110 + 2 + 0 = 666.

222022111111020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220221111110202 (a number of 29 digits) contains 22 as substring.

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 = 222022111110984 and 222022111111002.

It is not an unprimeable number, because it can be changed into a prime (222022111111027) 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, 2076472084 + ... + 2076579003.

It is an arithmetic number, because the mean of its divisors is an integer number (5290987086112).

Almost surely, 2222022111111020 is an apocalyptic number.

222022111111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222022111111020 is an abundant number, since it is smaller than the sum of its proper divisors (539880029289108).

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

222022111111020 is a wasteful number, since it uses less digits than its factorization.

222022111111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153051122 (or 4153051108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222022111111020 its reverse (20111111220222), we get a palindrome (242133222331242).

The spelling of 222022111111020 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 4153051087 8306102174 12459153261 16612204348 20765255435 24918306522 37377459783 41530510870 45683561957 49836613044 62295766305 74754919566 83061021740 91367123914 112132379349 124591532610 137050685871 149509839132 182734247828 186887298915 224264758698 228417809785 249183065220 274101371742 336397138047 373774597830 411152057613 448529517396 456835619570 548202743484 560661896745 672794276094 685253429355 747549195660 822304115226 913671239140 1009191414141 1121323793490 1233456172839 1345588552188 1370506858710 1644608230452 1681985690235 2018382828282 2055760288065 2242647586980 2466912345678 2741013717420 3363971380470 3700368518517 4036765656564 4111520576130 4933824691356 5045957070705 6167280864195 6727942760940 7400737037034 8223041152260 10091914141410 11101105555551 12334561728390 14801474074068 18501842592585 20183828282820 22202211111102 24669123456780 37003685185170 44404422222204 55505527777755 74007370370340 111011055555510 222022111111020