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230478208 = 271997977
BaseRepresentation
bin11011011110011…
…01000110000000
3121001200111122221
431233031012000
5433000300313
634511540424
75466014062
oct1557150600
9531614587
10230478208
1110910a764
126522a714
1338998b4c
1422877732
1515379c8d
hexdbcd180

230478208 has 64 divisors (see below), whose sum is σ = 488804400. Its totient is φ = 107937792.

The previous prime is 230478187. The next prime is 230478223. The reversal of 230478208 is 802874032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 235416 + ... + 236392.

Almost surely, 2230478208 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 230478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244402200).

230478208 is an abundant number, since it is smaller than the sum of its proper divisors (258326192).

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

230478208 is an equidigital number, since it uses as much as digits as its factorization.

230478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 230478208 is about 15181.5087524264. The cubic root of 230478208 is about 613.1169032623.

The spelling of 230478208 in words is "two hundred thirty million, four hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 304 388 608 776 977 1216 1552 1843 1954 2432 3104 3686 3908 6208 7372 7816 12416 14744 15632 18563 29488 31264 37126 58976 62528 74252 94769 117952 125056 148504 189538 235904 297008 379076 594016 758152 1188032 1516304 1800611 2376064 3032608 3601222 6065216 7202444 12130432 14404888 28809776 57619552 115239104 230478208