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66227274 = 23317193797
BaseRepresentation
bin1111110010100…
…0110001001010
311121121200202000
43330220301022
5113423233044
610323251430
71432631301
oct374506112
9147550660
1066227274
1134424593
121a219b76
131094a549
148b1d438
155c32d69
hex3f28c4a

66227274 has 64 divisors (see below), whose sum is σ = 164073600. Its totient is φ = 19678464.

The previous prime is 66227219. The next prime is 66227297. The reversal of 66227274 is 47272266.

66227274 is a `hidden beast` number, since 6 + 622 + 7 + 27 + 4 = 666.

66227274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 15544 + ... + 19340.

It is an arithmetic number, because the mean of its divisors is an integer number (2563650).

Almost surely, 266227274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66227274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82036800).

66227274 is an abundant number, since it is smaller than the sum of its proper divisors (97846326).

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

66227274 is a wasteful number, since it uses less digits than its factorization.

66227274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3838 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 66227274 is about 8138.0141312239. The cubic root of 66227274 is about 404.5873437459.

The spelling of 66227274 in words is "sixty-six million, two hundred twenty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 3797 5814 7594 8721 11391 17442 22782 34173 64549 68346 72143 102519 129098 144286 193647 205038 216429 387294 432858 580941 649287 1161882 1226431 1298574 1742823 1947861 2452862 3485646 3679293 3895722 7358586 11037879 22075758 33113637 66227274