230222400 has 84 divisors (see below), whose sum is σ = 755337072. Its totient is φ = 61391360.

The previous prime is 230222389. The next prime is 230222401. The reversal of 230222400 is 4222032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230222400.

It is not an unprimeable number, because it can be changed into a prime (230222401) 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, 19182 + ... + 28781.

It is an arithmetic number, because the mean of its divisors is an integer number (8992108).

Almost surely, 2^230222400 is an apocalyptic number.

230222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230222400 is an abundant number, since it is smaller than the sum of its proper divisors (525114672).

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

230222400 is a wasteful number, since it uses less digits than its factorization.

230222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47988 (or 47973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230222400 is about 15173.0814273173. The cubic root of 230222400 is about 612.8899862627.

Adding to 230222400 its reverse (4222032), we get a palindrome (234444432).

The spelling of 230222400 in words is "two hundred thirty million, two hundred twenty-two thousand, four hundred".