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22020306 = 2372112619
BaseRepresentation
bin101010000000…
…0000011010010
31112102202011220
41110000003102
521114122211
62103545510
7355112100
oct124000322
945382156
1022020306
1111480200
12745b296
13473cb89
142cd2c70
151dee806
hex15000d2

22020306 has 72 divisors (see below), whose sum is σ = 56402640. Its totient is φ = 5710320.

The previous prime is 22020293. The next prime is 22020311. The reversal of 22020306 is 60302022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35265 + ... + 35883.

It is an arithmetic number, because the mean of its divisors is an integer number (783370).

Almost surely, 222020306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22020306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201320).

22020306 is an abundant number, since it is smaller than the sum of its proper divisors (34382334).

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

22020306 is a wasteful number, since it uses less digits than its factorization.

22020306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22020306 is about 4692.5798874393. The cubic root of 22020306 is about 280.2901159654.

Adding to 22020306 its reverse (60302022), we get a palindrome (82322328).

The spelling of 22020306 in words is "twenty-two million, twenty thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 619 726 847 1078 1238 1617 1694 1857 2541 3234 3714 4333 5082 5929 6809 8666 11858 12999 13618 17787 20427 25998 30331 35574 40854 47663 60662 74899 90993 95326 142989 149798 181986 224697 285978 333641 449394 524293 667282 1000923 1048586 1572879 2001846 3145758 3670051 7340102 11010153 22020306