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2022006020 = 225414096029
BaseRepresentation
bin111100010000101…
…0101110100000100
312012220202112210212
41320201111310010
513120113143040
6532350334552
7101051524166
oct17041256404
95186675725
102022006020
11948408061
124851ba458
13262bb0888
14152786936
15bc7acd65
hex78855d04

2022006020 has 48 divisors (see below), whose sum is σ = 4361137200. Its totient is φ = 787015680.

The previous prime is 2022006013. The next prime is 2022006023. The reversal of 2022006020 is 206002202.

It can be written as a sum of positive squares in 8 ways, for example, as 47803396 + 1974202624 = 6914^2 + 44432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2022005986 and 2022006004.

It is not an unprimeable number, because it can be changed into a prime (2022006023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332366 + ... + 338394.

It is an arithmetic number, because the mean of its divisors is an integer number (90857025).

Almost surely, 22022006020 is an apocalyptic number.

2022006020 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 2022006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180568600).

2022006020 is an abundant number, since it is smaller than the sum of its proper divisors (2339131180).

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

2022006020 is a wasteful number, since it uses less digits than its factorization.

2022006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2022006020 is about 44966.7212502757. The cubic root of 2022006020 is about 1264.5251791688.

Adding to 2022006020 its reverse (206002202), we get a palindrome (2228008222).

The spelling of 2022006020 in words is "two billion, twenty-two million, six thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 409 410 818 820 1636 2045 4090 6029 8180 12058 16769 24116 30145 33538 60290 67076 83845 120580 167690 247189 335380 494378 988756 1235945 2465861 2471890 4931722 4943780 9863444 12329305 24658610 49317220 101100301 202200602 404401204 505501505 1011003010 2022006020