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2021112192 = 27311478483
BaseRepresentation
bin111100001110111…
…1011100110000000
312012212002010201010
41320131323212000
513114401042232
6532315240520
7101041112241
oct17035734600
95185063633
102021112192
11947957560
12484a49140
13262959a98
141525d2cc8
15bc6830cc
hex7877b980

2021112192 has 64 divisors (see below), whose sum is σ = 5856644160. Its totient is φ = 612456960.

The previous prime is 2021112169. The next prime is 2021112209. The reversal of 2021112192 is 2912111202.

2021112192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235018 + ... + 243465.

It is an arithmetic number, because the mean of its divisors is an integer number (91510065).

Almost surely, 22021112192 is an apocalyptic number.

2021112192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2021112192 is an abundant number, since it is smaller than the sum of its proper divisors (3835531968).

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

2021112192 is a wasteful number, since it uses less digits than its factorization.

2021112192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478511 (or 478499 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2021112192 is about 44956.7813794538. The cubic root of 2021112192 is about 1264.3388238717.

Adding to 2021112192 its reverse (2912111202), we get a palindrome (4933223394).

The spelling of 2021112192 in words is "two billion, twenty-one million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 478483 956966 1435449 1913932 2870898 3827864 5263313 5741796 7655728 10526626 11483592 15311456 15789939 21053252 22967184 30622912 31579878 42106504 45934368 61245824 63159756 84213008 91868736 126319512 168426016 183737472 252639024 336852032 505278048 673704064 1010556096 2021112192