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228798 = 23319223
BaseRepresentation
bin110111110110111110
3102121212000
4313312332
524310143
64523130
71642023
oct676676
9377760
10228798
11146999
12b04a6
13801ab
145d54a
1547bd3
hex37dbe

228798 has 32 divisors (see below), whose sum is σ = 537600. Its totient is φ = 71928.

The previous prime is 228797. The next prime is 228799. The reversal of 228798 is 897822.

228798 is nontrivially palindromic in base 8.

228798 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228797) and next prime (228799).

It is a super-3 number, since 3×2287983 = 35931713334316776, which contains 333 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2228798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800).

228798 is an abundant number, since it is smaller than the sum of its proper divisors (308802).

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

228798 is a wasteful number, since it uses less digits than its factorization.

228798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 228798 is about 478.3283391145. The cubic root of 228798 is about 61.1623374577.

The spelling of 228798 in words is "two hundred twenty-eight thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 223 342 446 513 669 1026 1338 2007 4014 4237 6021 8474 12042 12711 25422 38133 76266 114399 228798