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209228213766 = 231113243855727
BaseRepresentation
bin1100001011011011111…
…0010010111000000110
3202000001110210111221110
43002312332102320012
511411444410320031
6240041302425450
721054604321215
oct3026676227006
9660043714843
10209228213766
1180807965850
1234672132286
13169651546b0
14a1ab94107c
1556986cec46
hex30b6f92e06

209228213766 has 32 divisors (see below), whose sum is σ = 491613147648. Its totient is φ = 58525374240.

The previous prime is 209228213729. The next prime is 209228213767. The reversal of 209228213766 is 667312822902.

209228213766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209228213767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121927006 + ... + 121928721.

It is an arithmetic number, because the mean of its divisors is an integer number (15362910864).

Almost surely, 2209228213766 is an apocalyptic number.

209228213766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

209228213766 is an abundant number, since it is smaller than the sum of its proper divisors (282384933882).

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

209228213766 is a wasteful number, since it uses less digits than its factorization.

209228213766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243855756.

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 209228213766 in words is "two hundred nine billion, two hundred twenty-eight million, two hundred thirteen thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 243855727 487711454 731567181 1463134362 2682412997 3170124451 5364825994 6340248902 8047238991 9510373353 16094477982 19020746706 34871368961 69742737922 104614106883 209228213766