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66234516 = 22317417919
BaseRepresentation
bin1111110010101…
…0100010010100
311121122001200020
43330222202110
5113424001031
610323345140
71432661355
oct374524224
9147561606
1066234516
1134429a77
121a2221b0
131095092a
148b21d2c
155c35096
hex3f2a894

66234516 has 48 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 20270080.

The previous prime is 66234481. The next prime is 66234527. The reversal of 66234516 is 61543266.

66234516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×662345162 = 8774022219508512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 12323.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 266234516 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 66234516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

66234516 is an abundant number, since it is smaller than the sum of its proper divisors (101416044).

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

66234516 is a wasteful number, since it uses less digits than its factorization.

66234516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7982 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 66234516 is about 8138.4590679071. The cubic root of 66234516 is about 404.6020905140.

The spelling of 66234516 in words is "sixty-six million, two hundred thirty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 7919 8364 15838 23757 31676 47514 95028 134623 269246 324679 403869 538492 649358 807738 974037 1298716 1615476 1948074 3896148 5519543 11039086 16558629 22078172 33117258 66234516