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22210211221020 = 223252331438736809
BaseRepresentation
bin1010000110011001101111…
…10000000000111000011100
32220122021102210210211000100
411003030313300000320130
510402343003033033040
6115123121415101100
74451430511306434
oct503146760007034
986567383724010
1022210211221020
117093330240559
1225a85a2971790
13c5154c53a294
1456ada10152c4
15287b129b9b30
hex143337c00e1c

22210211221020 has 144 divisors (see below), whose sum is σ = 67666660981920. Its totient is φ = 5896733472768.

The previous prime is 22210211220971. The next prime is 22210211221031. The reversal of 22210211221020 is 2012211201222.

It is a happy number.

22210211221020 is a `hidden beast` number, since 2 + 2 + 210 + 211 + 221 + 0 + 20 = 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 = 22210211220984 and 22210211221002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 603372376 + ... + 603409184.

It is an arithmetic number, because the mean of its divisors is an integer number (469907367930).

Almost surely, 222210211221020 is an apocalyptic number.

22210211221020 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 22210211221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33833330490960).

22210211221020 is an abundant number, since it is smaller than the sum of its proper divisors (45456449760900).

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

22210211221020 is a wasteful number, since it uses less digits than its factorization.

22210211221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51444 (or 51439 counting only the distinct ones).

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

Adding to 22210211221020 its reverse (2012211201222), we get a palindrome (24222422422242).

The spelling of 22210211221020 in words is "twenty-two trillion, two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6990 8388 10485 13980 14387 20970 28774 36809 41940 43161 57548 71935 73618 86322 110427 129483 143870 147236 172644 184045 215805 220854 258966 287740 331281 368090 431610 441708 517932 552135 647415 662562 736180 863220 1104270 1294830 1325124 1656405 2208540 2589660 3312810 3352171 6625620 6704342 8576497 10056513 13408684 16760855 17152994 20113026 25729491 30169539 33521710 34305988 40226052 42882485 50282565 51458982 60339078 67043420 77188473 85764970 100565130 102917964 120678156 128647455 150847695 154376946 171529940 201130260 257294910 301695390 308753892 385942365 514589820 529571083 603390780 771884730 1059142166 1543769460 1588713249 2118284332 2647855415 3177426498 4766139747 5295710830 6354852996 7943566245 9532279494 10591421660 15887132490 19064558988 23830698735 31774264980 47661397470 95322794940 123390062339 246780124678 370170187017 493560249356 616950311695 740340374034 1110510561051 1233900623390 1480680748068 1850850935085 2221021122102 2467801246780 3701701870170 4442042244204 5552552805255 7403403740340 11105105610510 22210211221020