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2020022112 = 253411912687
BaseRepresentation
bin111100001100111…
…0001011101100000
312012210000202101210
41320121301131200
513114111201422
6532240030120
7101025622203
oct17031613540
95183022353
102020022112
11947282569
12484602340
13262667874
141523cb93a
15bc51a10c
hex78671760

2020022112 has 96 divisors (see below), whose sum is σ = 5462360064. Its totient is φ = 653235200.

The previous prime is 2020022111. The next prime is 2020022143. The reversal of 2020022112 is 2112200202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020022111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750433 + ... + 753119.

It is an arithmetic number, because the mean of its divisors is an integer number (56899584).

Almost surely, 22020022112 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 2020022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731180032).

2020022112 is an abundant number, since it is smaller than the sum of its proper divisors (3442337952).

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

2020022112 is a wasteful number, since it uses less digits than its factorization.

2020022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2924 counting only the distinct ones).

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

The square root of 2020022112 is about 44944.6561005866. The cubic root of 2020022112 is about 1264.1114773763. Note that the first 3 decimals are identical.

Adding to 2020022112 its reverse (2112200202), we get a palindrome (4132222314).

The spelling of 2020022112 in words is "two billion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 191 246 328 382 492 573 656 764 984 1146 1312 1528 1968 2292 2687 3056 3936 4584 5374 6112 7831 8061 9168 10748 15662 16122 18336 21496 23493 31324 32244 42992 46986 62648 64488 85984 93972 110167 125296 128976 187944 220334 250592 257952 330501 375888 440668 513217 661002 751776 881336 1026434 1322004 1539651 1762672 2052868 2644008 3079302 3525344 4105736 5288016 6158604 8211472 10576032 12317208 16422944 21041897 24634416 42083794 49268832 63125691 84167588 126251382 168335176 252502764 336670352 505005528 673340704 1010011056 2020022112