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2002220022220 = 2251159173891643
BaseRepresentation
bin11101001000101101100…
…111001111100111001100
321002102002011012122221021
4131020231213033213030
5230301021311202340
64131450203443524
7264440610245035
oct35105547174714
97072064178837
102002220022220
117021560063a0
122840635265a4
13116a684862a2
146cc9d65da8c
1537137d51e4a
hex1d22d9cf9cc

2002220022220 has 96 divisors (see below), whose sum is σ = 4691616733440. Its totient is φ = 711601647360.

The previous prime is 2002220022163. The next prime is 2002220022221. The reversal of 2002220022220 is 222200222002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002220022194 and 2002220022203.

It is not an unprimeable number, because it can be changed into a prime (2002220022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799719 + ... + 2691361.

It is an arithmetic number, because the mean of its divisors is an integer number (48871007640).

Almost surely, 22002220022220 is an apocalyptic number.

2002220022220 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 2002220022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345808366720).

2002220022220 is an abundant number, since it is smaller than the sum of its proper divisors (2689396711220).

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

2002220022220 is a wasteful number, since it uses less digits than its factorization.

2002220022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891895 (or 891893 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2002220022220 its reverse (222200222002), we get a palindrome (2224420244222).

The spelling of 2002220022220 in words is "two trillion, two billion, two hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 173 220 236 295 346 590 649 692 865 1180 1298 1730 1903 2596 3245 3460 3806 6490 7612 9515 10207 12980 19030 20414 38060 40828 51035 102070 112277 204140 224554 449108 561385 891643 1122770 1783286 2245540 3566572 4458215 8916430 9808073 17832860 19616146 39232292 49040365 52606937 98080730 105213874 154254239 196161460 210427748 263034685 308508478 526069370 578676307 617016956 771271195 1052138740 1157352614 1542542390 1696796629 2314705228 2893381535 3085084780 3393593258 5786763070 6787186516 8483983145 9101000101 11573526140 16967966290 18202000202 33935932580 36404000404 45505000505 91010001010 100111001111 182020002020 200222002222 400444004444 500555005555 1001110011110 2002220022220