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206443968 = 2631956591
BaseRepresentation
bin11000100111000…
…01010111000000
3112101110102212220
430103201113000
5410322201333
632252451040
75054513313
oct1423412700
9471412786
10206443968
11a6594455
1259179a80
1333a023c3
141d5bc97a
15131cd8b3
hexc4e15c0

206443968 has 56 divisors (see below), whose sum is σ = 574974720. Its totient is φ = 65191680.

The previous prime is 206443967. The next prime is 206443997. The reversal of 206443968 is 869344602.

It is a happy number.

It is a super-2 number, since 2×2064439682 = 85238223847170048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206443967) by changing a digit.

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, 24648 + ... + 31943.

Almost surely, 2206443968 is an apocalyptic number.

It is an amenable number.

206443968 is an abundant number, since it is smaller than the sum of its proper divisors (368530752).

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

206443968 is a wasteful number, since it uses less digits than its factorization.

206443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56625 (or 56615 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 206443968 is about 14368.1581283058. The cubic root of 206443968 is about 591.0180336400.

The spelling of 206443968 in words is "two hundred six million, four hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 56591 113182 169773 226364 339546 452728 679092 905456 1075229 1358184 1810912 2150458 2716368 3225687 3621824 4300916 5432736 6451374 8601832 10865472 12902748 17203664 25805496 34407328 51610992 68814656 103221984 206443968