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67216266 = 232131761277
BaseRepresentation
bin1000000000110…
…10001110001010
311200110221101100
410000122032022
5114201410031
610400402230
71444220535
oct400321612
9150427340
1067216266
1134a3a637
121a616376
1310c05750
148cd9a1c
155d7ade6
hex401a38a

67216266 has 96 divisors (see below), whose sum is σ = 169395408. Its totient is φ = 19077120.

The previous prime is 67216213. The next prime is 67216273. The reversal of 67216266 is 66261276.

67216266 is a `hidden beast` number, since 6 + 7 + 21 + 626 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4347225 + 62869041 = 2085^2 + 7929^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67216266.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242520 + ... + 242796.

Almost surely, 267216266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67216266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84697704).

67216266 is an abundant number, since it is smaller than the sum of its proper divisors (102179142).

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

67216266 is a wasteful number, since it uses less digits than its factorization.

67216266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 67216266 is about 8198.5526771498. The cubic root of 67216266 is about 406.5913430620.

The spelling of 67216266 in words is "sixty-seven million, two hundred sixteen thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 61 78 102 117 122 153 183 221 234 277 306 366 442 549 554 663 793 831 1037 1098 1326 1586 1662 1989 2074 2379 2493 3111 3601 3978 4709 4758 4986 6222 7137 7202 9333 9418 10803 13481 14127 14274 16897 18666 21606 26962 28254 32409 33794 40443 42381 50691 61217 64818 80886 84762 101382 121329 122434 152073 183651 219661 242658 287249 304146 367302 439322 550953 574498 658983 861747 1101906 1317966 1723494 1976949 2585241 3734237 3953898 5170482 7468474 11202711 22405422 33608133 67216266