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230454307104 = 253717131153991
BaseRepresentation
bin1101011010100000100…
…1011010100100100000
3211000211202102210001120
43112220021122210200
512233432300311404
6253511431332240
722435605201240
oct3265011324440
9730752383046
10230454307104
118980a4a294a
12387b6821080
131896885b538
14b2229c9b20
155edbddc9d9
hex35a825a920

230454307104 has 192 divisors, whose sum is σ = 737624143872. Its totient is φ = 61497446400.

The previous prime is 230454307051. The next prime is 230454307129. The reversal of 230454307104 is 401703454032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419549 + ... + 1573539.

It is an arithmetic number, because the mean of its divisors is an integer number (3841792416).

Almost surely, 2230454307104 is an apocalyptic number.

230454307104 is a gapful number since it is divisible by the number (24) 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 230454307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368812071936).

230454307104 is an abundant number, since it is smaller than the sum of its proper divisors (507169836768).

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

230454307104 is a wasteful number, since it uses less digits than its factorization.

230454307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154159 (or 154151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 230454307104 in words is "two hundred thirty billion, four hundred fifty-four million, three hundred seven thousand, one hundred four".