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228644100 = 223352194457
BaseRepresentation
bin11011010000011…
…01010100000100
3120221020022202000
431220031110010
5432013102400
634404345300
75444304606
oct1550152404
9527208660
10228644100
11108077773
12646a5230
13384a6089
142251b176
1515116600
hexda0d504

228644100 has 144 divisors (see below), whose sum is σ = 773908800. Its totient is φ = 57749760.

The previous prime is 228644099. The next prime is 228644113. The reversal of 228644100 is 1446822.

228644100 is a `hidden beast` number, since 2 + 2 + 8 + 644 + 10 + 0 = 666.

It is a super-3 number, since 3×2286441003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49072 + ... + 53528.

Almost surely, 2228644100 is an apocalyptic number.

228644100 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 228644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386954400).

228644100 is an abundant number, since it is smaller than the sum of its proper divisors (545264700).

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

228644100 is a wasteful number, since it uses less digits than its factorization.

228644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228644100 is about 15120.9821109609. The cubic root of 228644100 is about 611.4862085320.

The spelling of 228644100 in words is "two hundred twenty-eight million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 4457 5130 5700 8550 8914 10260 12825 13371 17100 17828 22285 25650 26742 40113 44570 51300 53484 66855 80226 84683 89140 111425 120339 133710 160452 169366 200565 222850 240678 254049 267420 334275 338732 401130 423415 445700 481356 508098 601695 668550 762147 802260 846830 1002825 1016196 1203390 1270245 1337100 1524294 1693660 2005650 2117075 2286441 2406780 2540490 3008475 3048588 3810735 4011300 4234150 4572882 5080980 6016950 6351225 7621470 8468300 9145764 11432205 12033900 12702450 15242940 19053675 22864410 25404900 38107350 45728820 57161025 76214700 114322050 228644100