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2220002002220 = 2252943591508707
BaseRepresentation
bin100000010011100010011…
…011100100010100101100
321212020012202102112020112
4200103202123210110230
5242333031003032340
64415504351235152
7316250501445242
oct40234233442454
97766182375215
102220002002220
11786552289332
122ba302218ab8
131314647ac602
147963d218792
153cb32466065
hex204e26e452c

2220002002220 has 96 divisors (see below), whose sum is σ = 5018566291200. Its totient is φ = 823246550784.

The previous prime is 2220002002219. The next prime is 2220002002223. The reversal of 2220002002220 is 222002000222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2220002002195 and 2220002002204.

It is not an unprimeable number, because it can be changed into a prime (2220002002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717107 + ... + 2225813.

It is an arithmetic number, because the mean of its divisors is an integer number (52276732200).

Almost surely, 22220002002220 is an apocalyptic number.

2220002002220 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 2220002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509283145600).

2220002002220 is an abundant number, since it is smaller than the sum of its proper divisors (2798564288980).

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

2220002002220 is a wasteful number, since it uses less digits than its factorization.

2220002002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508847 (or 1508845 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2220002002220 its reverse (222002000222), we get a palindrome (2442004002442).

The spelling of 2220002002220 in words is "two trillion, two hundred twenty billion, two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 59 86 116 118 145 172 215 236 290 295 430 580 590 860 1180 1247 1711 2494 2537 3422 4988 5074 6235 6844 8555 10148 12470 12685 17110 24940 25370 34220 50740 73573 147146 294292 367865 735730 1471460 1508707 3017414 6034828 7543535 15087070 30174140 43752503 64874401 87505006 89013713 129748802 175010012 178027426 218762515 259497604 324372005 356054852 437525030 445068565 648744010 875050060 890137130 1297488020 1780274260 1881357629 2581397677 3762715258 3827589659 5162795354 7525430516 7655179318 9406788145 10325590708 12906988385 15310358636 18813576290 19137948295 25813976770 37627152580 38275896590 51627953540 76551793180 111000100111 222000200222 444000400444 555000500555 1110001001110 2220002002220