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205000425 = 32527731783
BaseRepresentation
bin11000011100000…
…00111011101001
3112021202002201100
430032000323221
5404440003200
632201512013
75036321610
oct1416007351
9467662640
10205000425
11a5798943
12587a2609
1333618336
141d324877
1512ee5d00
hexc380ee9

205000425 has 72 divisors (see below), whose sum is σ = 425619584. Its totient is φ = 92378880.

The previous prime is 205000381. The next prime is 205000457. The reversal of 205000425 is 524000502.

It is not a de Polignac number, because 205000425 - 29 = 204999913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205000398 and 205000407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114084 + ... + 115866.

Almost surely, 2205000425 is an apocalyptic number.

205000425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205000425 is an abundant number, since it is smaller than the sum of its proper divisors (220619159).

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

205000425 is a wasteful number, since it uses less digits than its factorization.

205000425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205000425 is about 14317.8359049124. The cubic root of 205000425 is about 589.6372614694.

Adding to 205000425 its reverse (524000502), we get a palindrome (729000927).

The spelling of 205000425 in words is "two hundred five million, four hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 35 45 63 73 75 105 175 219 225 315 365 511 525 657 1095 1533 1575 1783 1825 2555 3285 4599 5349 5475 7665 8915 12481 12775 16047 16425 22995 26745 37443 38325 44575 62405 80235 112329 114975 130159 133725 187215 312025 390477 401175 561645 650795 911113 936075 1171431 1952385 2733339 2808225 3253975 4555565 5857155 8200017 9761925 13666695 22777825 29285775 41000085 68333475 205000425