230742144 has 48 divisors (see below), whose sum is σ = 663987870. Its totient is φ = 76913664.

The previous prime is 230742143. The next prime is 230742151. The reversal of 230742144 is 441247032.

230742144 is a `hidden beast` number, since 230 + 7 + 421 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166100544 + 64641600 = 12888^2 + 8040^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (230742143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98997 + ... + 101300.

Almost surely, 2^230742144 is an apocalyptic number.

230742144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230742144 is an abundant number, since it is smaller than the sum of its proper divisors (433245726).

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

230742144 is a wasteful number, since it uses less digits than its factorization.

230742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200317 (or 200302 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 230742144 is about 15190.1989453726. The cubic root of 230742144 is about 613.3508543619.

Adding to 230742144 its reverse (441247032), we get a palindrome (671989176).

The spelling of 230742144 in words is "two hundred thirty million, seven hundred forty-two thousand, one hundred forty-four".