Search a number
-
+
228434600 = 23524212713
BaseRepresentation
bin11011001110110…
…10001010101000
3120220211200100202
431213122022220
5431434401400
634400051332
75442443042
oct1547321250
9526750322
10228434600
11107a44329
1264603b48
1338431904
14224a4a92
15150c44d5
hexd9da2a8

228434600 has 48 divisors (see below), whose sum is σ = 532568220. Its totient is φ = 91123200.

The previous prime is 228434561. The next prime is 228434603. The reversal of 228434600 is 6434822.

228434600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 77193796 + 151240804 = 8786^2 + 12298^2 .

It is not an unprimeable number, because it can be changed into a prime (228434603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82844 + ... + 85556.

Almost surely, 2228434600 is an apocalyptic number.

228434600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228434600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266284110).

228434600 is an abundant number, since it is smaller than the sum of its proper divisors (304133620).

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

228434600 is a wasteful number, since it uses less digits than its factorization.

228434600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 228434600 is about 15114.0530632918. The cubic root of 228434600 is about 611.2993890641.

The spelling of 228434600 in words is "two hundred twenty-eight million, four hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 421 842 1684 2105 2713 3368 4210 5426 8420 10525 10852 13565 16840 21050 21704 27130 42100 54260 67825 84200 108520 135650 271300 542600 1142173 2284346 4568692 5710865 9137384 11421730 22843460 28554325 45686920 57108650 114217300 228434600