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206189928 = 23337315383
BaseRepresentation
bin11000100101000…
…11010101101000
3112100222112102000
430102203111220
5410241034203
632243211000
75052404550
oct1422432550
9470875360
10206189928
11a64305aa
1259076a60
1333943899
141d554160
151317d4a3
hexc4a3568

206189928 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 55261440.

The previous prime is 206189911. The next prime is 206189933. The reversal of 206189928 is 829981602.

206189928 is a `hidden beast` number, since 2 + 0 + 618 + 9 + 9 + 28 = 666.

206189928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2484175 + ... + 2484257.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2206189928 is an apocalyptic number.

206189928 is a gapful number since it is divisible by the number (28) 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 206189928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

206189928 is an abundant number, since it is smaller than the sum of its proper divisors (490539672).

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

206189928 is a wasteful number, since it uses less digits than its factorization.

206189928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 206189928 is about 14359.3150254460. The cubic root of 206189928 is about 590.7755080275.

The spelling of 206189928 in words is "two hundred six million, one hundred eighty-nine thousand, nine hundred twenty-eight".