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205253377 = 71391931093
BaseRepresentation
bin11000011101111…
…10101100000001
3112022012221200221
430032332230001
5410021102002
632211143041
75041424230
oct1416765401
9468187627
10205253377
11a595099a
12588a4a81
13336a6504
141d38cb17
1513045c37
hexc3beb01

205253377 has 16 divisors (see below), whose sum is σ = 237704320. Its totient is φ = 173601792.

The previous prime is 205253369. The next prime is 205253381. The reversal of 205253377 is 773352502.

205253377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205253377 - 23 = 205253369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205253327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187243 + ... + 188335.

It is an arithmetic number, because the mean of its divisors is an integer number (14856520).

Almost surely, 2205253377 is an apocalyptic number.

It is an amenable number.

205253377 is a deficient number, since it is larger than the sum of its proper divisors (32450943).

205253377 is a wasteful number, since it uses less digits than its factorization.

205253377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432.

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 205253377 is about 14326.6666395223. Note that the first 4 decimals coincide. The cubic root of 205253377 is about 589.8796814883.

The spelling of 205253377 in words is "two hundred five million, two hundred fifty-three thousand, three hundred seventy-seven".

Divisors: 1 7 139 193 973 1093 1351 7651 26827 151927 187789 210949 1063489 1476643 29321911 205253377