224310042 has 72 divisors (see below), whose sum is σ = 538099380. Its totient is φ = 67478400.

The previous prime is 224310011. The next prime is 224310043. The reversal of 224310042 is 240013422.

It can be written as a sum of positive squares in 2 ways, for example, as 168194961 + 56115081 = 12969^2 + 7491^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 224309997 and 224310024.

It is not an unprimeable number, because it can be changed into a prime (224310043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 393934 + ... + 394502.

Almost surely, 2^224310042 is an apocalyptic number.

224310042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224310042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269049690).

224310042 is an abundant number, since it is smaller than the sum of its proper divisors (313789338).

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

224310042 is a wasteful number, since it uses less digits than its factorization.

224310042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224310042 is about 14976.9837417285. The cubic root of 224310042 is about 607.5978646382.

Adding to 224310042 its reverse (240013422), we get a palindrome (464323464).

The spelling of 224310042 in words is "two hundred twenty-four million, three hundred ten thousand, forty-two".