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230055234480 = 24355293741269
BaseRepresentation
bin1101011001000001011…
…1000100101110110000
3210222210221111210100000
43112100113010232300
512232123120000410
6253404054030000
722422661141221
oct3262027045660
9728727453300
10230055234480
1189625200765
1238705048300
1318903c830a6
14b1c59c7248
155eb6d5ddc0
hex35905c4bb0

230055234480 has 960 divisors, whose sum is σ = 875250230400. Its totient is φ = 56017059840.

The previous prime is 230055234407. The next prime is 230055234571. The reversal of 230055234480 is 84432550032.

230055234480 is a `hidden beast` number, since 2 + 30 + 0 + 552 + 34 + 48 + 0 = 666.

230055234480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 855223786 + ... + 855224054.

It is an arithmetic number, because the mean of its divisors is an integer number (911718990).

Almost surely, 2230055234480 is an apocalyptic number.

230055234480 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 230055234480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437625115200).

230055234480 is an abundant number, since it is smaller than the sum of its proper divisors (645194995920).

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

230055234480 is a wasteful number, since it uses less digits than its factorization.

230055234480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 230055234480 in words is "two hundred thirty billion, fifty-five million, two hundred thirty-four thousand, four hundred eighty".