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220102020 = 223251222789
BaseRepresentation
bin11010001111001…
…11110110000100
3120100011100012200
431013213312010
5422321231040
633501314500
75311556565
oct1507476604
9510140180
10220102020
111032729a6
1261865a30
13367a4ca8
142133616c
15144ca630
hexd1e7d84

220102020 has 36 divisors (see below), whose sum is σ = 667643340. Its totient is φ = 58693824.

The previous prime is 220102013. The next prime is 220102027. The reversal of 220102020 is 20201022.

It is an interprime number because it is at equal distance from previous prime (220102013) and next prime (220102027).

It can be written as a sum of positive squares in 2 ways, for example, as 169208064 + 50893956 = 13008^2 + 7134^2 .

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 = 220101993 and 220102011.

It is not an unprimeable number, because it can be changed into a prime (220102027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611215 + ... + 611574.

Almost surely, 2220102020 is an apocalyptic number.

220102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102020 is an abundant number, since it is smaller than the sum of its proper divisors (447541320).

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

220102020 is a wasteful number, since it uses less digits than its factorization.

220102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222804 (or 1222799 counting only the distinct ones).

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

The square root of 220102020 is about 14835.8356690818. The cubic root of 220102020 is about 603.7743737186.

Adding to 220102020 its reverse (20201022), we get a palindrome (240303042).

The spelling of 220102020 in words is "two hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1222789 2445578 3668367 4891156 6113945 7336734 11005101 12227890 14673468 18341835 22010202 24455780 36683670 44020404 55025505 73367340 110051010 220102020