230514144 has 192 divisors, whose sum is σ = 725630976. Its totient is φ = 62705664.

The previous prime is 230514143. The next prime is 230514161. The reversal of 230514144 is 441415032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230514143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815009 + ... + 1815135.

It is an arithmetic number, because the mean of its divisors is an integer number (3779328).

Almost surely, 2^230514144 is an apocalyptic number.

230514144 is a gapful number since it is divisible by the number (24) 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 230514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362815488).

230514144 is an abundant number, since it is smaller than the sum of its proper divisors (495116832).

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

230514144 is a wasteful number, since it uses less digits than its factorization.

230514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 230514144 is about 15182.6922513762. The cubic root of 230514144 is about 613.1487671917.

Adding to 230514144 its reverse (441415032), we get a palindrome (671929176).

The spelling of 230514144 in words is "two hundred thirty million, five hundred fourteen thousand, one hundred forty-four".