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216719808 = 2631767991
BaseRepresentation
bin11001110101011…
…10000111000000
3120002210111200120
430322232013000
5420440013213
633301020240
75241042114
oct1472560700
9502714616
10216719808
11101372888
12606b4680
1335b8c696
1420ad5744
151405d423
hexceae1c0

216719808 has 112 divisors (see below), whose sum is σ = 616817664. Its totient is φ = 66908160.

The previous prime is 216719779. The next prime is 216719819. The reversal of 216719808 is 808917612.

It is a self number, because there is not a number n which added to its sum of digits gives 216719808.

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, 218193 + ... + 219183.

Almost surely, 2216719808 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 216719808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308408832).

216719808 is an abundant number, since it is smaller than the sum of its proper divisors (400097856).

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

216719808 is a wasteful number, since it uses less digits than its factorization.

216719808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 216719808 is about 14721.4064545477. The cubic root of 216719808 is about 600.6657499108.

The spelling of 216719808 in words is "two hundred sixteen million, seven hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 102 134 136 192 201 204 268 272 402 408 536 544 804 816 991 1072 1088 1139 1608 1632 1982 2144 2278 2973 3216 3264 3417 3964 4288 4556 5946 6432 6834 7928 9112 11892 12864 13668 15856 16847 18224 23784 27336 31712 33694 36448 47568 50541 54672 63424 66397 67388 72896 95136 101082 109344 132794 134776 190272 199191 202164 218688 265588 269552 398382 404328 531176 539104 796764 808656 1062352 1078208 1128749 1593528 1617312 2124704 2257498 3187056 3234624 3386247 4249408 4514996 6374112 6772494 9029992 12748224 13544988 18059984 27089976 36119968 54179952 72239936 108359904 216719808