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2022000321 = 311292411777
BaseRepresentation
bin111100010000101…
…0100011011000001
312012220202020222210
41320201110123001
513120113002241
6532350252333
7101051501445
oct17041243301
95186666883
102022000321
11948403850
124851b70a9
13262bab0c3
14152784825
15bc7ab316
hex788546c1

2022000321 has 48 divisors (see below), whose sum is σ = 3122054208. Its totient is φ = 1153689600.

The previous prime is 2022000307. The next prime is 2022000341. The reversal of 2022000321 is 1230002202.

It is not a de Polignac number, because 2022000321 - 210 = 2021999297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2022000297 and 2022000306.

It is not an unprimeable number, because it can be changed into a prime (2022000341) 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 47 ways as a sum of consecutive naturals, for example, 1136985 + ... + 1138761.

It is an arithmetic number, because the mean of its divisors is an integer number (65042796).

Almost surely, 22022000321 is an apocalyptic number.

It is an amenable number.

2022000321 is a deficient number, since it is larger than the sum of its proper divisors (1100053887).

2022000321 is a wasteful number, since it uses less digits than its factorization.

2022000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2022000321 is about 44966.6578811457. The cubic root of 2022000321 is about 1264.5239911512.

Adding to 2022000321 its reverse (1230002202), we get a palindrome (3252002523).

The spelling of 2022000321 in words is "two billion, twenty-two million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 29 33 41 87 123 319 451 841 957 1189 1353 1777 2523 3567 5331 9251 13079 19547 27753 34481 39237 51533 58641 72857 103443 154599 218571 379291 566863 801427 1137873 1494457 1700589 2112853 2404281 4483371 6338559 16439027 23241383 49317081 61272737 69724149 183818211 674000107 2022000321