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230257728 = 263444417
BaseRepresentation
bin11011011100101…
…11010001000000
3121001021022020000
431232113101000
5432421221403
634503120000
75464105221
oct1556272100
9531238200
10230257728
11108a7a048
1265143000
133891c69c
142281b248
15153347a3
hexdb97440

230257728 has 70 divisors (see below), whose sum is σ = 682571406. Its totient is φ = 76750848.

The previous prime is 230257723. The next prime is 230257793. The reversal of 230257728 is 827752032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 95883264 = 11592^2 + 9792^2 .

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 230257692 and 230257701.

It is not an unprimeable number, because it can be changed into a prime (230257721) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 17025 + ... + 27392.

Almost surely, 2230257728 is an apocalyptic number.

It is an amenable number.

230257728 is an abundant number, since it is smaller than the sum of its proper divisors (452313678).

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

230257728 is an equidigital number, since it uses as much as digits as its factorization.

230257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44441 (or 44422 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 230257728 is about 15174.2455496146. The cubic root of 230257728 is about 612.9213343129.

The spelling of 230257728 in words is "two hundred thirty million, two hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44417 88834 133251 177668 266502 355336 399753 533004 710672 799506 1066008 1199259 1421344 1599012 2132016 2398518 2842688 3198024 3597777 4264032 4797036 6396048 7195554 8528064 9594072 12792096 14391108 19188144 25584192 28782216 38376288 57564432 76752576 115128864 230257728