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230474784480 = 25358929318413
BaseRepresentation
bin1101011010100101011…
…1100001111011100000
3211000220011222010201220
43112221113201323200
512234003021100410
6253513442255040
722436244226113
oct3265127417340
9730804863656
10230474784480
11898200098a6
1238801657480
131896cb7b025
14b2255da57a
155eddad5070
hex35a95e1ee0

230474784480 has 192 divisors, whose sum is σ = 736698473280. Its totient is φ = 60558688256.

The previous prime is 230474784439. The next prime is 230474784481. The reversal of 230474784480 is 84487474032.

It is a super-2 number, since 2×2304747844802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230474784481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12507754 + ... + 12526166.

It is an arithmetic number, because the mean of its divisors is an integer number (3836971215).

Almost surely, 2230474784480 is an apocalyptic number.

230474784480 is a gapful number since it is divisible by the number (20) 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 230474784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368349236640).

230474784480 is an abundant number, since it is smaller than the sum of its proper divisors (506223688800).

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

230474784480 is a wasteful number, since it uses less digits than its factorization.

230474784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18813 (or 18805 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 51.

The spelling of 230474784480 in words is "two hundred thirty billion, four hundred seventy-four million, seven hundred eighty-four thousand, four hundred eighty".