230002080 has 384 divisors, whose sum is σ = 928972800. Its totient is φ = 47416320.

The previous prime is 230002079. The next prime is 230002081. The reversal of 230002080 is 80200032.

230002080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230002079) and next prime (230002081).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230002081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810977 + ... + 1811103.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^230002080 is an apocalyptic number.

230002080 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 230002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

230002080 is an abundant number, since it is smaller than the sum of its proper divisors (698970720).

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

230002080 is a wasteful number, since it uses less digits than its factorization.

230002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230002080 is about 15165.8194635173. The cubic root of 230002080 is about 612.6944144746.

The spelling of 230002080 in words is "two hundred thirty million, two thousand, eighty".