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2221050906 = 232857143981
BaseRepresentation
bin1000010001100010…
…1000110000011010
312201210022002001200
42010120220300122
514022042112111
61004220455030
7106016423034
oct20430506032
95653262050
102221050906
11a3a7a8468
1251b9aa476
132951c2209
14170d9ac54
15ceec9256
hex84628c1a

2221050906 has 24 divisors (see below), whose sum is σ = 4817925684. Its totient is φ = 739481280.

The previous prime is 2221050899. The next prime is 2221050907. The reversal of 2221050906 is 6090501222.

It can be written as a sum of positive squares in 2 ways, for example, as 2042588025 + 178462881 = 45195^2 + 13359^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2221050906.

It is not an unprimeable number, because it can be changed into a prime (2221050907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56565 + ... + 87416.

Almost surely, 22221050906 is an apocalyptic number.

2221050906 is an abundant number, since it is smaller than the sum of its proper divisors (2596874778).

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

2221050906 is a wasteful number, since it uses less digits than its factorization.

2221050906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144846 (or 144843 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2221050906 is about 47128.0267569097. The cubic root of 2221050906 is about 1304.7265626956.

The spelling of 2221050906 in words is "two billion, two hundred twenty-one million, fifty thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 857 1714 2571 5142 7713 15426 143981 287962 431943 863886 1295829 2591658 123391717 246783434 370175151 740350302 1110525453 2221050906