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205205625 = 32541912
BaseRepresentation
bin11000011101100…
…11000001111001
3112022010112012100
430032303001321
5410013040000
632210134013
75041135062
oct1416630171
9468115170
10205205625
11a5919029
1258881309
133368a861
141d379569
1513036a00
hexc3b3079

205205625 has 45 divisors (see below), whose sum is σ = 372340969. Its totient is φ = 108870000.

The previous prime is 205205593. The next prime is 205205629. The reversal of 205205625 is 526502502.

The square root of 205205625 is 14325.

It is a perfect power (a square), and thus also a powerful number.

205205625 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 16088121 + 189117504 = 4011^2 + 13752^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 205205625 - 25 = 205205593 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205205629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1074280 + ... + 1074470.

Almost surely, 2205205625 is an apocalyptic number.

205205625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205205625 is the 14325-th square number.

205205625 is the 7163-rd centered octagonal number.

It is an amenable number.

205205625 is a deficient number, since it is larger than the sum of its proper divisors (167135344).

205205625 is an frugal number, since it uses more digits than its factorization.

205205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The cubic root of 205205625 is about 589.8339329609.

The spelling of 205205625 in words is "two hundred five million, two hundred five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 191 225 375 573 625 955 1125 1719 1875 2865 4775 5625 8595 14325 23875 36481 42975 71625 109443 119375 182405 214875 328329 358125 547215 912025 1074375 1641645 2736075 4560125 8208225 13680375 22800625 41041125 68401875 205205625