Search a number
-
+
228508632 = 233211299949
BaseRepresentation
bin11011001111011…
…00001111011000
3120220222102220200
431213230033120
5431444234012
634401422200
75443201632
oct1547541730
9526872820
10228508632
11107a94a10
126463a960
1338459511
14224c3a52
15150db3dc
hexd9ec3d8

228508632 has 96 divisors (see below), whose sum is σ = 698490000. Its totient is φ = 66850560.

The previous prime is 228508619. The next prime is 228508639. The reversal of 228508632 is 236805822.

It is a super-2 number, since 2×2285086322 = 104432389797022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228508639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17994 + ... + 27942.

Almost surely, 2228508632 is an apocalyptic number.

228508632 is a gapful number since it is divisible by the number (22) 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 228508632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349245000).

228508632 is an abundant number, since it is smaller than the sum of its proper divisors (469981368).

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

228508632 is a wasteful number, since it uses less digits than its factorization.

228508632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 228508632 is about 15116.5019763171. The cubic root of 228508632 is about 611.3654193829.

The spelling of 228508632 in words is "two hundred twenty-eight million, five hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 9949 11484 19898 22968 29847 39796 59694 79592 89541 109439 119388 179082 218878 238776 288521 328317 358164 437756 577042 656634 716328 865563 875512 984951 1154084 1313268 1731126 1969902 2308168 2596689 2626536 3173731 3462252 3939804 5193378 6347462 6924504 7879608 9521193 10386756 12694924 19042386 20773512 25389848 28563579 38084772 57127158 76169544 114254316 228508632