230005152 has 144 divisors (see below), whose sum is σ = 735291648. Its totient is φ = 67668480.

The previous prime is 230005147. The next prime is 230005159. The reversal of 230005152 is 251500032.

It is a happy number.

230005152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230005159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84777 + ... + 87447.

It is an arithmetic number, because the mean of its divisors is an integer number (5106192).

Almost surely, 2^230005152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367645824).

230005152 is an abundant number, since it is smaller than the sum of its proper divisors (505286496).

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

230005152 is a wasteful number, since it uses less digits than its factorization.

230005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 230005152 is about 15165.9207435619. The cubic root of 230005152 is about 612.6971422599.

Adding to 230005152 its reverse (251500032), we get a palindrome (481505184).

The spelling of 230005152 in words is "two hundred thirty million, five thousand, one hundred fifty-two".