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66022368 = 253739421
BaseRepresentation
bin1111101111011…
…0101111100000
311121020021122220
43323312233200
5113400203433
610315031040
71431116016
oct373665740
9147207586
1066022368
11342a4645
121a13b480
13108a81b9
148aa88b6
155be22b3
hex3ef6be0

66022368 has 48 divisors (see below), whose sum is σ = 175701456. Its totient is φ = 21703680.

The previous prime is 66022367. The next prime is 66022381. The reversal of 66022368 is 86322066.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66022367) 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 7 ways as a sum of consecutive naturals, for example, 2298 + ... + 11718.

It is an arithmetic number, because the mean of its divisors is an integer number (3660447).

Almost surely, 266022368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66022368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87850728).

66022368 is an abundant number, since it is smaller than the sum of its proper divisors (109679088).

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

66022368 is a wasteful number, since it uses less digits than its factorization.

66022368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 66022368 is about 8125.4149432506. The cubic root of 66022368 is about 404.1696506717.

The spelling of 66022368 in words is "sixty-six million, twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 9421 18842 28263 37684 56526 75368 113052 150736 226104 301472 452208 687733 904416 1375466 2063199 2750932 4126398 5501864 8252796 11003728 16505592 22007456 33011184 66022368