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230615497728 = 21032711324979
BaseRepresentation
bin1101011011000111000…
…0010011110000000000
3211001020222202010000200
43112301300103300000
512234300031411403
6253535430245200
722442603246610
oct3266160236000
9731228663020
10230615497728
1189892488840
12388407b6800
1318993077bc5
14b23a188a40
155eeb12cca3
hex35b1c13c00

230615497728 has 264 divisors, whose sum is σ = 830212106880. Its totient is φ = 59899944960.

The previous prime is 230615497709. The next prime is 230615497729. The reversal of 230615497728 is 827794516032.

It is a happy number.

230615497728 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 1 + 549 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230615497729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547143 + ... + 872121.

It is a 1-persistent number, because it is pandigital, but 2⋅230615497728 = 461230995456 is not.

Almost surely, 2230615497728 is an apocalyptic number.

230615497728 is a gapful number since it is divisible by the number (28) 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 230615497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415106053440).

230615497728 is an abundant number, since it is smaller than the sum of its proper divisors (599596609152).

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

230615497728 is a wasteful number, since it uses less digits than its factorization.

230615497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325023 (or 325002 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 230615497728 in words is "two hundred thirty billion, six hundred fifteen million, four hundred ninety-seven thousand, seven hundred twenty-eight".