230329152 has 84 divisors (see below), whose sum is σ = 667763460. Its totient is φ = 75896832.

The previous prime is 230329139. The next prime is 230329159. The reversal of 230329152 is 251923032.

It can be written as a sum of positive squares in 2 ways, for example, as 159365376 + 70963776 = 12624^2 + 8424^2 .

It is a super-2 number, since 2×230329152² = 106103036522078208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230329159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49018 + ... + 53510.

It is an arithmetic number, because the mean of its divisors is an integer number (7949565).

Almost surely, 2^230329152 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 230329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333881730).

230329152 is an abundant number, since it is smaller than the sum of its proper divisors (437434308).

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

230329152 is a wasteful number, since it uses less digits than its factorization.

230329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 230329152 is about 15176.5988284596. The cubic root of 230329152 is about 612.9847020995.

The spelling of 230329152 in words is "two hundred thirty million, three hundred twenty-nine thousand, one hundred fifty-two".