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2202022010000 = 2454220202201
BaseRepresentation
bin100000000010110010101…
…111010101110010010000
321210111210200220021201202
4200002302233111302100
5242034220113310000
64403332301450332
7315043105153661
oct40026257256220
97714720807652
102202022010000
1177996602202a
122b69248709a8
1312c85a765b67
1478815319368
153c42dc10dd5
hex200b2bd5c90

2202022010000 has 50 divisors (see below), whose sum is σ = 5331315512622. Its totient is φ = 880808800000.

The previous prime is 2202022009981. The next prime is 2202022010009. The reversal of 2202022010000 is 102202022.

It can be written as a sum of positive squares in 5 ways, for example, as 1200269242624 + 1001752767376 = 1095568^2 + 1000876^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (2202022010009) 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 9 ways as a sum of consecutive naturals, for example, 110091101 + ... + 110111100.

Almost surely, 22202022010000 is an apocalyptic number.

2202022010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202022010000 is an abundant number, since it is smaller than the sum of its proper divisors (3129293502622).

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

2202022010000 is an equidigital number, since it uses as much as digits as its factorization.

2202022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220202229 (or 220202208 counting only the distinct ones).

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

Adding to 2202022010000 its reverse (102202022), we get a palindrome (2202124212022).

The spelling of 2202022010000 in words is "two trillion, two hundred two billion, twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 220202201 440404402 880808804 1101011005 1761617608 2202022010 3523235216 4404044020 5505055025 8808088040 11010110050 17616176080 22020220100 27525275125 44040440200 55050550250 88080880400 110101100500 137626375625 220202201000 275252751250 440404402000 550505502500 1101011005000 2202022010000