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206666112 = 2735211033
BaseRepresentation
bin11000101000101…
…11100110000000
3112101212201121110
430110113212000
5410401303422
632301323320
75056430052
oct1424274600
9471781543
10206666112
11a6726344
1259266540
1333a7c553
141d6398d2
151322460c
hexc517980

206666112 has 64 divisors (see below), whose sum is σ = 550542960. Its totient is φ = 68689920.

The previous prime is 206666087. The next prime is 206666143. The reversal of 206666112 is 211666602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 206666112.

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 7 ways as a sum of consecutive naturals, for example, 199548 + ... + 200580.

Almost surely, 2206666112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275271480).

206666112 is an abundant number, since it is smaller than the sum of its proper divisors (343876848).

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

206666112 is a wasteful number, since it uses less digits than its factorization.

206666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 206666112 is about 14375.8864770142. The cubic root of 206666112 is about 591.2299459368.

The spelling of 206666112 in words is "two hundred six million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 521 1033 1042 1563 2066 2084 3099 3126 4132 4168 6198 6252 8264 8336 12396 12504 16528 16672 24792 25008 33056 33344 49584 50016 66112 66688 99168 100032 132224 198336 200064 396672 538193 1076386 1614579 2152772 3229158 4305544 6458316 8611088 12916632 17222176 25833264 34444352 51666528 68888704 103333056 206666112