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228810 = 23529263
BaseRepresentation
bin110111110111001010
3102121212110
4313313022
524310220
64523150
71642041
oct676712
9377773
10228810
111469aa
12b04b6
13801ba
145d558
1547be0
hex37dca

228810 has 32 divisors (see below), whose sum is σ = 570240. Its totient is φ = 58688.

The previous prime is 228799. The next prime is 228829. The reversal of 228810 is 18822.

228810 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×2288102 = 104708032200, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228810.

It is an unprimeable number.

228810 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2228810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285120).

228810 is an abundant number, since it is smaller than the sum of its proper divisors (341430).

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

228810 is a wasteful number, since it uses less digits than its factorization.

228810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 228810 is about 478.3408826350. The cubic root of 228810 is about 61.1634067200.

The spelling of 228810 in words is "two hundred twenty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 263 290 435 526 789 870 1315 1578 2630 3945 7627 7890 15254 22881 38135 45762 76270 114405 228810