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220020220020 = 2235191011939901
BaseRepresentation
bin1100110011101000111…
…0100010000001110100
3210000220120212020101210
43030322032202001310
512101100134020040
6245024220521420
721616210004256
oct3147216420164
9700816766353
10220020220020
1185345750887
12367843b0270
1317994c56403
14a912d4bcd6
155acad86480
hex333a3a2074

220020220020 has 192 divisors, whose sum is σ = 658361007360. Its totient is φ = 54743040000.

The previous prime is 220020219997. The next prime is 220020220051. The reversal of 220020220020 is 20022020022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220020219978 and 220020220005.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22217070 + ... + 22226970.

It is an arithmetic number, because the mean of its divisors is an integer number (3428963580).

Almost surely, 2220020220020 is an apocalyptic number.

220020220020 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 220020220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329180503680).

220020220020 is an abundant number, since it is smaller than the sum of its proper divisors (438340787340).

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

220020220020 is a wasteful number, since it uses less digits than its factorization.

220020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220020220020 its reverse (20022020022), we get a palindrome (240042240042).

It can be divided in two parts, 2200202 and 20020, that added together give a palindrome (2220222).

The spelling of 220020220020 in words is "two hundred twenty billion, twenty million, two hundred twenty thousand, twenty".