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216690912 = 25322332713
BaseRepresentation
bin11001110101001…
…11000011100000
3120002202001001100
430322213003200
5420433102122
633300234400
75240561634
oct1472470340
9502661040
10216690912
111013530a9
126069ba00
1335b7c499
1420ac8dc4
1514054aac
hexcea70e0

216690912 has 72 divisors (see below), whose sum is σ = 643026384. Its totient is φ = 69087744.

The previous prime is 216690911. The next prime is 216690923. The reversal of 216690912 is 219096612.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216690911) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9733 + ... + 22980.

It is an arithmetic number, because the mean of its divisors is an integer number (8930922).

Almost surely, 2216690912 is an apocalyptic number.

It is an amenable number.

216690912 is an abundant number, since it is smaller than the sum of its proper divisors (426335472).

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

216690912 is a wasteful number, since it uses less digits than its factorization.

216690912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32752 (or 32741 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 216690912 is about 14720.4249938648. The cubic root of 216690912 is about 600.6390524450.

The spelling of 216690912 in words is "two hundred sixteen million, six hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 32713 65426 98139 130852 196278 261704 294417 392556 523408 588834 752399 785112 1046816 1177668 1504798 1570224 2257197 2355336 3009596 3140448 4514394 4710672 6019192 6771591 9028788 9421344 12038384 13543182 18057576 24076768 27086364 36115152 54172728 72230304 108345456 216690912