224142360 has 128 divisors (see below), whose sum is σ = 755758080. Its totient is φ = 52766208.

The previous prime is 224142343. The next prime is 224142379. The reversal of 224142360 is 63241422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224142360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32757 + ... + 39003.

It is an arithmetic number, because the mean of its divisors is an integer number (5904360).

Almost surely, 2^224142360 is an apocalyptic number.

224142360 is a gapful number since it is divisible by the number (20) 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 224142360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377879040).

224142360 is an abundant number, since it is smaller than the sum of its proper divisors (531615720).

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

224142360 is a wasteful number, since it uses less digits than its factorization.

224142360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 224142360 is about 14971.3847054974. The cubic root of 224142360 is about 607.4464245120.

Adding to 224142360 its reverse (63241422), we get a palindrome (287383782).

The spelling of 224142360 in words is "two hundred twenty-four million, one hundred forty-two thousand, three hundred sixty".