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205004268 = 223277611069
BaseRepresentation
bin11000011100000…
…01110111101100
3112021202021222200
430032001313230
5404440114033
632201541500
75036336040
oct1416016754
9467667880
10205004268
11a57a0817
12587a4890
133361a001
141d326020
1512ee7013
hexc381dec

205004268 has 72 divisors (see below), whose sum is σ = 593567520. Its totient is φ = 58440960.

The previous prime is 205004231. The next prime is 205004269. The reversal of 205004268 is 862400502.

205004268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205004269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191238 + ... + 192306.

Almost surely, 2205004268 is an apocalyptic number.

205004268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205004268 is an abundant number, since it is smaller than the sum of its proper divisors (388563252).

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

205004268 is a wasteful number, since it uses less digits than its factorization.

205004268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 205004268 is about 14317.9701075257. The cubic root of 205004268 is about 589.6409459525.

The spelling of 205004268 in words is "two hundred five million, four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 761 1069 1522 2138 2283 3044 3207 4276 4566 5327 6414 6849 7483 9132 9621 10654 12828 13698 14966 15981 19242 21308 22449 27396 29932 31962 38484 44898 47943 63924 67347 89796 95886 134694 191772 269388 813509 1627018 2440527 3254036 4881054 5694563 7321581 9762108 11389126 14643162 17083689 22778252 29286324 34167378 51251067 68334756 102502134 205004268