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1220222210220 = 22325134099127217
BaseRepresentation
bin10001110000011010111…
…010010101000010101100
311022122121101100211100100
4101300122322111002230
5124443003341211340
62332321244431100
7154105146440106
oct21603272250254
94278541324310
101220222210220
11430547698a22
121785a1b48490
138b0b3025080
14430b8134576
1521b1a1eb830
hex11c1ae950ac

1220222210220 has 144 divisors (see below), whose sum is σ = 3987063007200. Its totient is φ = 300286752768.

The previous prime is 1220222210219. The next prime is 1220222210227. The reversal of 1220222210220 is 220122220221.

1220222210220 is a `hidden beast` number, since 1 + 220 + 2 + 2 + 221 + 0 + 220 = 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 = 1220222210193 and 1220222210202.

It is not an unprimeable number, because it can be changed into a prime (1220222210227) 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, 9528052 + ... + 9655268.

It is an arithmetic number, because the mean of its divisors is an integer number (27687937550).

Almost surely, 21220222210220 is an apocalyptic number.

1220222210220 is a gapful number since it is divisible by the number (10) 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 1220222210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993531503600).

1220222210220 is an abundant number, since it is smaller than the sum of its proper divisors (2766840796980).

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

1220222210220 is a wasteful number, since it uses less digits than its factorization.

1220222210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131344 (or 131339 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1220222210220 its reverse (220122220221), we get a palindrome (1440344430441).

The spelling of 1220222210220 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4099 8198 12297 16396 20495 24594 36891 40990 49188 53287 61485 73782 81980 106574 122970 127217 147564 159861 184455 213148 245940 254434 266435 319722 368910 381651 479583 508868 532870 636085 639444 737820 763302 799305 959166 1065740 1144953 1272170 1526604 1598610 1653821 1908255 1918332 2289906 2397915 2544340 3197220 3307642 3816510 4579812 4795830 4961463 5724765 6615284 7633020 8269105 9591660 9922926 11449530 14884389 16538210 19845852 22899060 24807315 29768778 33076420 49614630 59537556 74421945 99229260 148843890 297687780 521462483 1042924966 1564387449 2085849932 2607312415 3128774898 4693162347 5214624830 6257549796 6779012279 7821937245 9386324694 10429249660 13558024558 15643874490 18772649388 20337036837 23465811735 27116049116 31287748980 33895061395 40674073674 46931623470 61011110511 67790122790 81348147348 93863246940 101685184185 122022221022 135580245580 203370368370 244044442044 305055552555 406740736740 610111105110 1220222210220