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220000012020 = 223251222222289
BaseRepresentation
bin1100110011100100000…
…1011100011011110100
3210000212011211120020100
43030321001130123310
512101030000341040
6245022215434100
721615543150645
oct3147101343364
9700764746210
10220000012020
11853352a9258
1236779685930
13179909cc409
14a9103ab6cc
155ac91e3b30
hex333905c6f4

220000012020 has 36 divisors (see below), whose sum is σ = 667333370340. Its totient is φ = 58666669824.

The previous prime is 220000012003. The next prime is 220000012021. The reversal of 220000012020 is 20210000022.

220000012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113125940964 + 106874071056 = 336342^2 + 326916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220000011993 and 220000012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000012021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 611110965 + ... + 611111324.

It is an arithmetic number, because the mean of its divisors is an integer number (18537038065).

Almost surely, 2220000012020 is an apocalyptic number.

220000012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000012020 is an abundant number, since it is smaller than the sum of its proper divisors (447333358320).

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

220000012020 is a wasteful number, since it uses less digits than its factorization.

220000012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222222304 (or 1222222299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 220000012020 its reverse (20210000022), we get a palindrome (240210012042).

The spelling of 220000012020 in words is "two hundred twenty billion, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1222222289 2444444578 3666666867 4888889156 6111111445 7333333734 11000000601 12222222890 14666667468 18333334335 22000001202 24444445780 36666668670 44000002404 55000003005 73333337340 110000006010 220000012020