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230691815424 = 214347191307
BaseRepresentation
bin1101011011011001001…
…1011100000000000000
3211001110022100110020000
43112312103130000000
512234424101043144
6253551154120000
722444521035310
oct3266623340000
9731408313200
10230691815424
1189921574414
1238862280000
13189a5b191c5
14b246373440
156002ba5769
hex35b64dc000

230691815424 has 600 divisors, whose sum is σ = 829754808960. Its totient is φ = 62395121664.

The previous prime is 230691815401. The next prime is 230691815437. The reversal of 230691815424 is 424518196032.

230691815424 is a `hidden beast` number, since 2 + 30 + 69 + 18 + 1 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230691815424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176504179 + ... + 176505485.

Almost surely, 2230691815424 is an apocalyptic number.

230691815424 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 230691815424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414877404480).

230691815424 is an abundant number, since it is smaller than the sum of its proper divisors (599062993536).

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

230691815424 is an equidigital number, since it uses as much as digits as its factorization.

230691815424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 230691815424 in words is "two hundred thirty billion, six hundred ninety-one million, eight hundred fifteen thousand, four hundred twenty-four".