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66052206 = 233113919
BaseRepresentation
bin1111101111111…
…0000001101110
311121021210121000
43323332001232
5113402132311
610315421130
71431302013
oct373760156
9147253530
1066052206
1134315000
121a1547a6
13108b895c
148ab570a
155beb056
hex3efe06e

66052206 has 64 divisors (see below), whose sum is σ = 161625600. Its totient is φ = 19994040.

The previous prime is 66052201. The next prime is 66052213. The reversal of 66052206 is 60225066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 66052206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66052201) 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 31 ways as a sum of consecutive naturals, for example, 71415 + ... + 72333.

It is an arithmetic number, because the mean of its divisors is an integer number (2525400).

Almost surely, 266052206 is an apocalyptic number.

66052206 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66052206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80812800).

66052206 is an abundant number, since it is smaller than the sum of its proper divisors (95573394).

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

66052206 is a wasteful number, since it uses less digits than its factorization.

66052206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66052206 is about 8127.2508266941. The cubic root of 66052206 is about 404.2305280084.

The spelling of 66052206 in words is "sixty-six million, fifty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 919 1089 1331 1838 2178 2662 2757 3267 3993 5514 6534 7986 8271 10109 11979 16542 20218 23958 24813 30327 35937 49626 60654 71874 90981 111199 181962 222398 272943 333597 545886 667194 1000791 1223189 2001582 2446378 3002373 3669567 6004746 7339134 11008701 22017402 33026103 66052206