224300142 has 96 divisors (see below), whose sum is σ = 576841824. Its totient is φ = 62208000.

The previous prime is 224300137. The next prime is 224300143. The reversal of 224300142 is 241003422.

224300142 is a `hidden beast` number, since 224 + 300 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224300143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123642 + ... + 125442.

It is an arithmetic number, because the mean of its divisors is an integer number (6008769).

Almost surely, 2^224300142 is an apocalyptic number.

224300142 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 224300142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288420912).

224300142 is an abundant number, since it is smaller than the sum of its proper divisors (352541682).

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

224300142 is a wasteful number, since it uses less digits than its factorization.

224300142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1871 counting only the distinct ones).

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

The square root of 224300142 is about 14976.6532309458. The cubic root of 224300142 is about 607.5889256605.

Adding to 224300142 its reverse (241003422), we get a palindrome (465303564).

The spelling of 224300142 in words is "two hundred twenty-four million, three hundred thousand, one hundred forty-two".