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208528133 = 1122816133
BaseRepresentation
bin11000110110111…
…10001100000101
3112112101022211012
430123132030011
5411340400013
632405252005
75111313512
oct1433361405
9475338735
10208528133
11a7788300
1259a04005
1334281c38
141d9a2309
15134911a8
hexc6de305

208528133 has 12 divisors (see below), whose sum is σ = 230061804. Its totient is φ = 188865600.

The previous prime is 208528123. The next prime is 208528153. The reversal of 208528133 is 331825802.

208528133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178035649 + 30492484 = 13343^2 + 5522^2 .

It is not a de Polignac number, because 208528133 - 212 = 208524037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 208528133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208528123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30935 + ... + 37067.

It is an arithmetic number, because the mean of its divisors is an integer number (19171817).

Almost surely, 2208528133 is an apocalyptic number.

It is an amenable number.

208528133 is a deficient number, since it is larger than the sum of its proper divisors (21533671).

208528133 is a wasteful number, since it uses less digits than its factorization.

208528133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 208528133 is about 14440.5032114535. The cubic root of 208528133 is about 593.0002616244. Note that the first 3 decimals are identical.

The spelling of 208528133 in words is "two hundred eight million, five hundred twenty-eight thousand, one hundred thirty-three".

Divisors: 1 11 121 281 3091 6133 34001 67463 742093 1723373 18957103 208528133