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2022020221000 = 235313461337397
BaseRepresentation
bin11101011011001001110…
…011000000100001001000
321011022012001202222102211
4131123021303000201020
5231112044134033000
64144523034434504
7266041355203063
oct35331163004110
97138161688384
102022020221000
1170a59677883a
12287a6a592a34
131188a2646240
146dc1b1b58da
15378e62a27ba
hex1d6c9cc0848

2022020221000 has 128 divisors (see below), whose sum is σ = 5106559217760. Its totient is φ = 744970368000.

The previous prime is 2022020220949. The next prime is 2022020221007. The reversal of 2022020221000 is 1220202202.

It can be written as a sum of positive squares in 16 ways, for example, as 134699276196 + 1887320944804 = 367014^2 + 1373798^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2022020221007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5824302 + ... + 6161698.

Almost surely, 22022020221000 is an apocalyptic number.

2022020221000 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 2022020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553279608880).

2022020221000 is an abundant number, since it is smaller than the sum of its proper divisors (3084538996760).

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

2022020221000 is a wasteful number, since it uses less digits than its factorization.

2022020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337892 (or 337878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2022020221000 its reverse (1220202202), we get a palindrome (2023240423202).

The spelling of 2022020221000 in words is "two trillion, twenty-two billion, twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 461 500 520 650 922 1000 1300 1625 1844 2305 2600 3250 3688 4610 5993 6500 9220 11525 11986 13000 18440 23050 23972 29965 46100 47944 57625 59930 92200 115250 119860 149825 230500 239720 299650 337397 461000 599300 674794 749125 1198600 1349588 1498250 1686985 2699176 2996500 3373970 4386161 5993000 6747940 8434925 8772322 13495880 16869850 17544644 21930805 33739700 35089288 42174625 43861610 67479400 84349250 87723220 109654025 155540017 168698500 175446440 219308050 311080034 337397000 438616100 548270125 622160068 777700085 877232200 1096540250 1244320136 1555400170 2022020221 2193080500 3110800340 3888500425 4044040442 4386161000 6221600680 7777000850 8088080884 10110101105 15554001700 16176161768 19442502125 20220202210 31108003400 38885004250 40440404420 50550505525 77770008500 80880808840 101101011050 155540017000 202202022100 252752527625 404404044200 505505055250 1011010110500 2022020221000