224235144 has 96 divisors (see below), whose sum is σ = 702000000. Its totient is φ = 63334656.

The previous prime is 224235113. The next prime is 224235149. The reversal of 224235144 is 441532422.

224235144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224235149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42357 + ... + 47355.

It is an arithmetic number, because the mean of its divisors is an integer number (7312500).

Almost surely, 2^224235144 is an apocalyptic number.

224235144 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 224235144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000000).

224235144 is an abundant number, since it is smaller than the sum of its proper divisors (477764856).

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

224235144 is a wasteful number, since it uses less digits than its factorization.

224235144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5100 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 224235144 is about 14974.4830962541. The cubic root of 224235144 is about 607.5302306757.

Adding to 224235144 its reverse (441532422), we get a palindrome (665767566).

The spelling of 224235144 in words is "two hundred twenty-four million, two hundred thirty-five thousand, one hundred forty-four".