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228293 = 13171033
BaseRepresentation
bin110111101111000101
3102121011022
4313233011
524301133
64520525
71640402
oct675705
9377138
10228293
1114657a
12b0145
137cbb0
145d2a9
1547998
hex37bc5

228293 has 8 divisors (see below), whose sum is σ = 260568. Its totient is φ = 198144.

The previous prime is 228281. The next prime is 228299. The reversal of 228293 is 392822.

It can be written as a sum of positive squares in 4 ways, for example, as 82369 + 145924 = 287^2 + 382^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 228293 - 212 = 224197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (32571).

2228293 is an apocalyptic number.

It is an amenable number.

228293 is a deficient number, since it is larger than the sum of its proper divisors (32275).

228293 is a wasteful number, since it uses less digits than its factorization.

228293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063.

The product of its digits is 1728, while the sum is 26.

The square root of 228293 is about 477.8001674340. The cubic root of 228293 is about 61.1173054021.

It can be divided in two parts, 2282 and 93, that multiplied together give a triangular number (212226 = T651).

The spelling of 228293 in words is "two hundred twenty-eight thousand, two hundred ninety-three".

Divisors: 1 13 17 221 1033 13429 17561 228293