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228788550 = 23452173323
BaseRepresentation
bin11011010001100…
…00100101000110
3120221111122220000
431220300211012
5432032213200
634411422130
75445446004
oct1550604506
9527448800
10228788550
11108166251
1264754946
1338526a53
1422557a74
1515144300
hexda30946

228788550 has 120 divisors (see below), whose sum is σ = 673289496. Its totient is φ = 57404160.

The previous prime is 228788531. The next prime is 228788561. The reversal of 228788550 is 55887822.

228788550 is a `hidden beast` number, since 2 + 28 + 78 + 8 + 550 = 666.

It is a super-2 number, since 2×2287885502 = 104688401222205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 228788496 and 228788505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 67189 + ... + 70511.

Almost surely, 2228788550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228788550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336644748).

228788550 is an abundant number, since it is smaller than the sum of its proper divisors (444500946).

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

228788550 is a wasteful number, since it uses less digits than its factorization.

228788550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 228788550 is about 15125.7578322542. The cubic root of 228788550 is about 611.6149538735.

The spelling of 228788550 in words is "two hundred twenty-eight million, seven hundred eighty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 450 459 510 675 765 810 850 918 1275 1350 1377 1530 2025 2295 2550 2754 3323 3825 4050 4590 6646 6885 7650 9969 11475 13770 16615 19938 22950 29907 33230 34425 49845 56491 59814 68850 83075 89721 99690 112982 149535 166150 169473 179442 249225 269163 282455 299070 338946 448605 498450 508419 538326 564910 747675 847365 897210 1016838 1345815 1412275 1495350 1525257 1694730 2243025 2542095 2691630 2824550 3050514 4236825 4486050 4575771 5084190 6729075 7626285 8473650 9151542 12710475 13458150 15252570 22878855 25420950 38131425 45757710 76262850 114394275 228788550