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206664016 = 24132233323
BaseRepresentation
bin11000101000101…
…11000101010000
3112101212121201211
430110113011100
5410401222031
632301305504
75056420666
oct1424270520
9471777654
10206664016
11a6724809
1259265294
1333a7b600
141d638c36
1513223bb1
hexc517150

206664016 has 60 divisors (see below), whose sum is σ = 452569248. Its totient is φ = 91208832.

The previous prime is 206664001. The next prime is 206664023. The reversal of 206664016 is 610466602.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 60531 + ... + 63853.

Almost surely, 2206664016 is an apocalyptic number.

206664016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226284624).

206664016 is an abundant number, since it is smaller than the sum of its proper divisors (245905232).

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

206664016 is a wasteful number, since it uses less digits than its factorization.

206664016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 206664016 is about 14375.8135769771. The cubic root of 206664016 is about 591.2279471860.

The spelling of 206664016 in words is "two hundred six million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 598 676 1196 1352 2392 2704 3323 3887 4784 6646 7774 13292 15548 26584 31096 43199 53168 62192 76429 86398 152858 172796 305716 345592 561587 611432 691184 993577 1123174 1222864 1987154 2246348 3974308 4492696 7948616 8985392 12916501 15897232 25833002 51666004 103332008 206664016