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205268 = 2277331
BaseRepresentation
bin110010000111010100
3101102120112
4302013110
523032033
64222152
71513310
oct620724
9342515
10205268
11130248
129a958
137257b
1454b40
1540c48
hex321d4

205268 has 12 divisors (see below), whose sum is σ = 410592. Its totient is φ = 87960.

The previous prime is 205267. The next prime is 205297. The reversal of 205268 is 862502.

It is a happy number.

205268 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3638 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (34216).

2205268 is an apocalyptic number.

205268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

205268 is a wasteful number, since it uses less digits than its factorization.

205268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 205268 is about 453.0651167327. The cubic root of 205268 is about 58.9893689550.

The spelling of 205268 in words is "two hundred five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 7331 14662 29324 51317 102634 205268