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20330222020 = 22537157174989
BaseRepresentation
bin10010111011110001…
…101001000111000100
31221110211220021200221
4102323301221013010
5313114014101040
613201203114124
71316542015213
oct227361510704
957424807627
1020330222020
118692975789
123b34672944
131bbcc27794
14dac0c507a
157dec4974a
hex4bbc691c4

20330222020 has 48 divisors (see below), whose sum is σ = 44126878320. Its totient is φ = 7861860864.

The previous prime is 20330222009. The next prime is 20330222039. The reversal of 20330222020 is 2022203302.

It can be written as a sum of positive squares in 8 ways, for example, as 1176215616 + 19154006404 = 34296^2 + 138398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20330221985 and 20330222003.

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, 28686 + ... + 203674.

It is an arithmetic number, because the mean of its divisors is an integer number (919309965).

Almost surely, 220330222020 is an apocalyptic number.

20330222020 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 20330222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063439160).

20330222020 is an abundant number, since it is smaller than the sum of its proper divisors (23796656300).

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

20330222020 is a wasteful number, since it uses less digits than its factorization.

20330222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175192 (or 175190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20330222020 its reverse (2022203302), we get a palindrome (22352425322).

The spelling of 20330222020 in words is "twenty billion, three hundred thirty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 157 185 314 370 628 740 785 1570 3140 5809 11618 23236 29045 58090 116180 174989 349978 699956 874945 1749890 3499780 6474593 12949186 25898372 27473273 32372965 54946546 64745930 109893092 129491860 137366365 274732730 549465460 1016511101 2033022202 4066044404 5082555505 10165111010 20330222020