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2022020112 = 243735916763
BaseRepresentation
bin111100010000101…
…1001010000010000
312012220210021010210
41320201121100100
513120114120422
6532350524120
7101051613240
oct17041312020
95186707123
102022020112
11948417702
12485206640
13262bb7108
1415278bb20
15bc7b210c
hex78859410

2022020112 has 80 divisors (see below), whose sum is σ = 5986759680. Its totient is φ = 576076416.

The previous prime is 2022020059. The next prime is 2022020123. The reversal of 2022020112 is 2110202202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 112243 + ... + 129005.

It is an arithmetic number, because the mean of its divisors is an integer number (74834496).

Almost surely, 22022020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993379840).

2022020112 is an abundant number, since it is smaller than the sum of its proper divisors (3964739568).

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

2022020112 is a wasteful number, since it uses less digits than its factorization.

2022020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2022020112 is about 44966.8779436598. The cubic root of 2022020112 is about 1264.5281167874.

Adding to 2022020112 its reverse (2110202202), we get a palindrome (4132222314).

The spelling of 2022020112 in words is "two billion, twenty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 359 718 1077 1436 2154 2513 2872 4308 5026 5744 7539 8616 10052 15078 16763 17232 20104 30156 33526 40208 50289 60312 67052 100578 117341 120624 134104 201156 234682 268208 352023 402312 469364 704046 804624 938728 1408092 1877456 2816184 5632368 6017917 12035834 18053751 24071668 36107502 42125419 48143336 72215004 84250838 96286672 126376257 144430008 168501676 252752514 288860016 337003352 505505028 674006704 1011010056 2022020112