Search a number
-
+
228508284 = 223292712423
BaseRepresentation
bin11011001111011…
…00001001111100
3120220222102102210
431213230021330
5431444231114
634401420420
75443200624
oct1547541174
9526872383
10228508284
11107a94724
126463a710
1338459304
14224c3884
15150db259
hexd9ec27c

228508284 has 48 divisors (see below), whose sum is σ = 553835520. Its totient is φ = 73241280.

The previous prime is 228508279. The next prime is 228508303. The reversal of 228508284 is 482805822.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93097 + ... + 95519.

It is an arithmetic number, because the mean of its divisors is an integer number (11538240).

Almost surely, 2228508284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228508284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276917760).

228508284 is an abundant number, since it is smaller than the sum of its proper divisors (325327236).

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

228508284 is a wasteful number, since it uses less digits than its factorization.

228508284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 228508284 is about 15116.4904657133. The cubic root of 228508284 is about 611.3651090295.

The spelling of 228508284 in words is "two hundred twenty-eight million, five hundred eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 271 348 542 813 1084 1626 2423 3252 4846 7269 7859 9692 14538 15718 23577 29076 31436 47154 70267 94308 140534 210801 281068 421602 656633 843204 1313266 1969899 2626532 3939798 7879596 19042357 38084714 57127071 76169428 114254142 228508284