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220021002020 = 22566118019241
BaseRepresentation
bin1100110011101001000…
…1100000111100100100
3210000220122022222002202
43030322101200330210
512101100334031040
6245024245354032
721616216442201
oct3147221407444
9700818288082
10220021002020
1185346135366
1236784708918
131799516b331
14a9130b2ca8
155acae8d015
hex333a460f24

220021002020 has 48 divisors (see below), whose sum is σ = 463050151536. Its totient is φ = 87816960000.

The previous prime is 220021002001. The next prime is 220021002043. The reversal of 220021002020 is 20200120022.

It can be written as a sum of positive squares in 8 ways, for example, as 10337602276 + 209683399744 = 101674^2 + 457912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220021001992 and 220021002010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23804600 + ... + 23813840.

It is an arithmetic number, because the mean of its divisors is an integer number (9646878157).

Almost surely, 2220021002020 is an apocalyptic number.

220021002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021002020 is an abundant number, since it is smaller than the sum of its proper divisors (243029149516).

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

220021002020 is a wasteful number, since it uses less digits than its factorization.

220021002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220021002020 its reverse (20200120022), we get a palindrome (240221122042).

The spelling of 220021002020 in words is "two hundred twenty billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 661 1322 1801 2644 3305 3602 6610 7204 9005 9241 13220 18010 18482 36020 36964 46205 92410 184820 1190461 2380922 4761844 5952305 6108301 11904610 12216602 16643041 23809220 24433204 30541505 33286082 61083010 66572164 83215205 122166020 166430410 332860820 11001050101 22002100202 44004200404 55005250505 110010501010 220021002020