Search a number
-
+
220001201112220 = 225112774019002813
BaseRepresentation
bin110010000001011100000101…
…011100010100010010011100
31001211221220112222012101102221
4302001130011130110102130
5212313444424441042340
62055523053451355124
764224363565536343
oct6201340534242234
91054856488171387
10220001201112220
116410aa92676810
1220811859152aa4
13959b0413663b8
143c481875c0b5a
151a67b095d044a
hexc8170571449c

220001201112220 has 96 divisors (see below), whose sum is σ = 507083714617536. Its totient is φ = 79512835584000.

The previous prime is 220001201112157. The next prime is 220001201112239. The reversal of 220001201112220 is 22211102100022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220001201112194 and 220001201112203.

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 31 ways as a sum of consecutive naturals, for example, 19935534 + ... + 28938346.

It is an arithmetic number, because the mean of its divisors is an integer number (5282122027266).

Almost surely, 2220001201112220 is an apocalyptic number.

220001201112220 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 220001201112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253541857308768).

220001201112220 is an abundant number, since it is smaller than the sum of its proper divisors (287082513505316).

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

220001201112220 is a wasteful number, since it uses less digits than its factorization.

220001201112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003511 (or 9003509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220001201112220 its reverse (22211102100022), we get a palindrome (242212303212242).

The spelling of 220001201112220 in words is "two hundred twenty trillion, one billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 401 554 802 1108 1385 1604 2005 2770 3047 4010 4411 5540 6094 8020 8822 12188 15235 17644 22055 30470 44110 60940 88220 111077 222154 444308 555385 1110770 1221847 2221540 2443694 4887388 6109235 9002813 12218470 18005626 24436940 36011252 45014065 90028130 99030943 180056260 198061886 396123772 495154715 990309430 1980618860 2493779201 3610128013 4987558402 7220256026 9975116804 12468896005 14440512052 18050640065 24937792010 27431571211 36101280130 39711408143 49875584020 54863142422 72202560260 79422816286 109726284844 137157856055 158845632572 198557040715 274315712110 397114081430 548631424220 794228162860 1000005459601 2000010919202 4000021838404 5000027298005 10000054596010 11000060055611 20000109192020 22000120111222 44000240222444 55000300278055 110000600556110 220001201112220