224142300 has 216 divisors, whose sum is σ = 740952576. Its totient is φ = 56609280.

The previous prime is 224142299. The next prime is 224142301. The reversal of 224142300 is 3241422.

224142300 is a `hidden beast` number, since 2 + 241 + 423 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (224142299) and next prime (224142301).

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 (224142301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1764837 + ... + 1764963.

It is an arithmetic number, because the mean of its divisors is an integer number (3430336).

Almost surely, 2^224142300 is an apocalyptic number.

224142300 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 224142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476288).

224142300 is an abundant number, since it is smaller than the sum of its proper divisors (516810276).

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

224142300 is a wasteful number, since it uses less digits than its factorization.

224142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

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

The square root of 224142300 is about 14971.3827016746. The cubic root of 224142300 is about 607.4463703102.

Adding to 224142300 its reverse (3241422), we get a palindrome (227383722).

The spelling of 224142300 in words is "two hundred twenty-four million, one hundred forty-two thousand, three hundred".