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228250512 = 24327367617
BaseRepresentation
bin11011001101011…
…01001110010000
3120220111022211200
431212231032100
5431413004022
634352111200
75441045250
oct1546551620
9526438750
10228250512
11107928a96
1264535500
1338398b99
1422457960
1515089bac
hexd9ad390

228250512 has 120 divisors (see below), whose sum is σ = 733214976. Its totient is φ = 64931328.

The previous prime is 228250501. The next prime is 228250523. The reversal of 228250512 is 215052822.

228250512 is a `hidden beast` number, since 22 + 82 + 50 + 512 = 666.

228250512 is digitally balanced in base 2, 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 (228250501) and next prime (228250523).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369628 + ... + 370244.

Almost surely, 2228250512 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 228250512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366607488).

228250512 is an abundant number, since it is smaller than the sum of its proper divisors (504964464).

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

228250512 is a wasteful number, since it uses less digits than its factorization.

228250512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 228250512 is about 15107.9618744555. The cubic root of 228250512 is about 611.1351361819.

The spelling of 228250512 in words is "two hundred twenty-eight million, two hundred fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 367 504 617 734 1008 1101 1234 1468 1851 2202 2468 2569 2936 3303 3702 4319 4404 4936 5138 5553 5872 6606 7404 7707 8638 8808 9872 10276 11106 12957 13212 14808 15414 17276 17616 20552 22212 23121 25914 26424 29616 30828 34552 38871 41104 44424 46242 51828 52848 61656 69104 77742 88848 92484 103656 123312 155484 184968 207312 226439 310968 369936 452878 621936 679317 905756 1358634 1585073 1811512 2037951 2717268 3170146 3623024 4075902 4755219 5434536 6340292 8151804 9510438 10869072 12680584 14265657 16303608 19020876 25361168 28531314 32607216 38041752 57062628 76083504 114125256 228250512