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206441968 = 24431911571
BaseRepresentation
bin11000100111000…
…00110111110000
3112101110100010211
430103200313300
5410322120333
632252433504
75054504425
oct1423406760
9471410124
10206441968
11a65929a7
1259178894
1333a01515
141d5bbd4c
15131ccecd
hexc4e0df0

206441968 has 40 divisors (see below), whose sum is σ = 411687936. Its totient is φ = 100228800.

The previous prime is 206441959. The next prime is 206441971. The reversal of 206441968 is 869144602.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 206441968.

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 7 ways as a sum of consecutive naturals, for example, 130623 + ... + 132193.

Almost surely, 2206441968 is an apocalyptic number.

It is an amenable number.

206441968 is a deficient number, since it is larger than the sum of its proper divisors (205245968).

206441968 is a wasteful number, since it uses less digits than its factorization.

206441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 206441968 is about 14368.0885297941. The cubic root of 206441968 is about 591.0161250674.

The spelling of 206441968 in words is "two hundred six million, four hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 43 86 172 191 344 382 688 764 1528 1571 3056 3142 6284 8213 12568 16426 25136 32852 65704 67553 131408 135106 270212 300061 540424 600122 1080848 1200244 2400488 4800976 12902623 25805246 51610492 103220984 206441968