230114976 has 288 divisors, whose sum is σ = 781861248. Its totient is φ = 58705920.

The previous prime is 230114959. The next prime is 230114981. The reversal of 230114976 is 679411032.

230114976 = T₂₃₅ + T₂₃₆ + ... + T₁₁₁₆.

230114976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3241021 + ... + 3241091.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 2^230114976 is an apocalyptic number.

230114976 is a gapful number since it is divisible by the number (26) 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 230114976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390930624).

230114976 is an abundant number, since it is smaller than the sum of its proper divisors (551746272).

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

230114976 is a wasteful number, since it uses less digits than its factorization.

230114976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 230114976 is about 15169.5410609550. The cubic root of 230114976 is about 612.7946446323.

The spelling of 230114976 in words is "two hundred thirty million, one hundred fourteen thousand, nine hundred seventy-six".