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228100608 = 293259839
BaseRepresentation
bin11011001100010…
…00101000000000
3120220012201012200
431212020220000
5431343204413
634344553200
75436552231
oct1546105000
9526181180
10228100608
111078363aa
1264482800
1338345898
1422419088
151505a573
hexd988a00

228100608 has 120 divisors (see below), whose sum is σ = 670269600. Its totient is φ = 74655744.

The previous prime is 228100601. The next prime is 228100627. The reversal of 228100608 is 806001822.

It is a Cunningham number, because it is equal to 151032-1.

It is not an unprimeable number, because it can be changed into a prime (228100601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271453 + ... + 272291.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2228100608 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 228100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335134800).

228100608 is an abundant number, since it is smaller than the sum of its proper divisors (442168992).

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

228100608 is an equidigital number, since it uses as much as digits as its factorization.

228100608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 228100608 is about 15102.9999668940. Note that the first 4 decimals coincide. The cubic root of 228100608 is about 611.0013187907.

The spelling of 228100608 in words is "two hundred twenty-eight million, one hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 839 944 1062 1152 1416 1536 1678 1888 2124 2304 2517 2832 3356 3776 4248 4608 5034 5664 6712 7551 7552 8496 10068 11328 13424 15102 15104 16992 20136 22656 26848 30204 30208 33984 40272 45312 49501 53696 60408 67968 80544 90624 99002 107392 120816 135936 148503 161088 198004 214784 241632 271872 297006 322176 396008 429568 445509 483264 594012 644352 792016 891018 966528 1188024 1288704 1584032 1782036 1933056 2376048 3168064 3564072 3866112 4752096 6336128 7128144 9504192 12672256 14256288 19008384 25344512 28512576 38016768 57025152 76033536 114050304 228100608