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216669216 = 25317132763
BaseRepresentation
bin11001110101000…
…01110000100000
3120002200221021210
430322201300200
5420431403331
633255550120
75240441451
oct1472416040
9502627253
10216669216
11101338875
126068b340
1335b7264a
1420ac1128
151404d446
hexcea1c20

216669216 has 48 divisors (see below), whose sum is σ = 602217504. Its totient is φ = 67974144.

The previous prime is 216669203. The next prime is 216669221. The reversal of 216669216 is 612966612.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64750 + ... + 68013.

It is an arithmetic number, because the mean of its divisors is an integer number (12546198).

Almost surely, 2216669216 is an apocalyptic number.

It is an amenable number.

216669216 is an abundant number, since it is smaller than the sum of its proper divisors (385548288).

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

216669216 is a wasteful number, since it uses less digits than its factorization.

216669216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132793 (or 132785 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 216669216 is about 14719.6880401726. The cubic root of 216669216 is about 600.6190056116.

The spelling of 216669216 in words is "two hundred sixteen million, six hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 132763 265526 398289 531052 796578 1062104 1593156 2124208 2256971 3186312 4248416 4513942 6372624 6770913 9027884 12745248 13541826 18055768 27083652 36111536 54167304 72223072 108334608 216669216