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228843720 = 233257212973
BaseRepresentation
bin11011010001111…
…10000011001000
3120221121110120100
431220332003020
5432040444340
634412525400
75446065600
oct1550760310
9527543510
10228843720
111081a3746
1264780860
1338545bb1
142256dc00
1515155830
hexda3e0c8

228843720 has 144 divisors (see below), whose sum is σ = 865236060. Its totient is φ = 52303104.

The previous prime is 228843707. The next prime is 228843731. The reversal of 228843720 is 27348822.

228843720 is a `hidden beast` number, since 2 + 288 + 4 + 372 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188622756 + 40220964 = 13734^2 + 6342^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11154 + ... + 24126.

Almost surely, 2228843720 is an apocalyptic number.

228843720 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 228843720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432618030).

228843720 is an abundant number, since it is smaller than the sum of its proper divisors (636392340).

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

228843720 is a wasteful number, since it uses less digits than its factorization.

228843720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13004 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 228843720 is about 15127.5814326018. The cubic root of 228843720 is about 611.6641114692.

The spelling of 228843720 in words is "two hundred twenty-eight million, eight hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 12973 17640 25946 38919 51892 64865 77838 90811 103784 116757 129730 155676 181622 194595 233514 259460 272433 311352 363244 389190 454055 467028 518920 544866 583785 635677 726488 778380 817299 908110 934056 1089732 1167570 1271354 1362165 1556760 1634598 1816220 1907031 2179464 2335140 2542708 2724330 3178385 3269196 3632440 3814062 4086495 4670280 5085416 5448660 5721093 6356770 6538392 7628124 8172990 9535155 10897320 11442186 12713540 15256248 16345980 19070310 22884372 25427080 28605465 32691960 38140620 45768744 57210930 76281240 114421860 228843720