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230350848 = 2133713103
BaseRepresentation
bin11011011101011…
…10000000000000
3121001110000221220
431232232000000
5432432211343
634505115040
75464643550
oct1556560000
9531400856
10230350848
11109033002
1265188a80
1338952ba0
1422843160
1515352183
hexdbae000

230350848 has 224 divisors, whose sum is σ = 763316736. Its totient is φ = 60162048.

The previous prime is 230350837. The next prime is 230350849. The reversal of 230350848 is 848053032.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230350849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236365 + ... + 2236467.

It is an arithmetic number, because the mean of its divisors is an integer number (3407664).

Almost surely, 2230350848 is an apocalyptic number.

230350848 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 230350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381658368).

230350848 is an abundant number, since it is smaller than the sum of its proper divisors (532965888).

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

230350848 is a wasteful number, since it uses less digits than its factorization.

230350848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 230350848 is about 15177.3135962857. The cubic root of 230350848 is about 613.0039483223.

The spelling of 230350848 in words is "two hundred thirty million, three hundred fifty thousand, eight hundred forty-eight".