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20221133320 = 235677979467
BaseRepresentation
bin10010110101010001…
…100000001000001000
31221012020122000010201
4102311101200020020
5312403102231240
613142305021544
71314045540313
oct226521401010
957166560121
1020221133320
118637336833
123b040248b4
131ba345115b
14d9b80997a
157d539bd9a
hex4b5460208

20221133320 has 64 divisors (see below), whose sum is σ = 46239439680. Its totient is φ = 7956892416.

The previous prime is 20221133297. The next prime is 20221133323. The reversal of 20221133320 is 2333112202.

It is not an unprimeable number, because it can be changed into a prime (20221133323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131227 + ... + 2140693.

It is an arithmetic number, because the mean of its divisors is an integer number (722491245).

Almost surely, 220221133320 is an apocalyptic number.

20221133320 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 20221133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23119719840).

20221133320 is an abundant number, since it is smaller than the sum of its proper divisors (26018306360).

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

20221133320 is a wasteful number, since it uses less digits than its factorization.

20221133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20221133320 its reverse (2333112202), we get a palindrome (22554245522).

The spelling of 20221133320 in words is "twenty billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 797 1340 1594 2680 3188 3985 6376 7970 9467 15940 18934 31880 37868 47335 53399 75736 94670 106798 189340 213596 266995 378680 427192 533990 634289 1067980 1268578 2135960 2537156 3171445 5074312 6342890 7545199 12685780 15090398 25371560 30180796 37725995 60361592 75451990 150903980 301807960 505528333 1011056666 2022113332 2527641665 4044226664 5055283330 10110566660 20221133320