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2022022010000 = 2454414931761
BaseRepresentation
bin11101011011001001111…
…001110101010010010000
321011022012012010212111002
4131123021321311102100
5231112100113310000
64144523141041132
7266041406333606
oct35331171652220
97138165125432
102022022010000
1170a59778a953
12287a6b0b61a8
131188a2b21615
146dc1b51d876
15378e65078d5
hex1d6c9e75490

2022022010000 has 100 divisors (see below), whose sum is σ = 5014921370844. Its totient is φ = 789081600000.

The previous prime is 2022022009991. The next prime is 2022022010011. The reversal of 2022022010000 is 102202202.

It can be written as a sum of positive squares in 10 ways, for example, as 1982103568384 + 39918441616 = 1407872^2 + 199796^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2055881 + ... + 2875880.

Almost surely, 22022022010000 is an apocalyptic number.

2022022010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022022010000 is an abundant number, since it is smaller than the sum of its proper divisors (2992899360844).

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

2022022010000 is an equidigital number, since it uses as much as digits as its factorization.

2022022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931830 (or 4931809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2022022010000 its reverse (102202202), we get a palindrome (2022124212202).

The spelling of 2022022010000 in words is "two trillion, twenty-two billion, twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 82000 102500 205000 410000 4931761 9863522 19727044 24658805 39454088 49317610 78908176 98635220 123294025 197270440 202202201 246588050 394540880 404404402 493176100 616470125 808808804 986352200 1011011005 1232940250 1617617608 1972704400 2022022010 2465880500 3082350625 3235235216 4044044020 4931761000 5055055025 6164701250 8088088040 9863522000 10110110050 12329402500 16176176080 20220220100 24658805000 25275275125 40440440200 49317610000 50550550250 80880880400 101101100500 126376375625 202202201000 252752751250 404404402000 505505502500 1011011005000 2022022010000