224302300242000 has 320 divisors, whose sum is σ = 734255292296448. Its totient is φ = 58896203520000.

The previous prime is 224302300241941. The next prime is 224302300242011. The reversal of 224302300242000 is 242003203422.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957044830 + ... + 957279170.

Almost surely, 2^{224302300242000} is an apocalyptic number.

224302300242000 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 224302300242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367127646148224).

224302300242000 is an abundant number, since it is smaller than the sum of its proper divisors (509952992054448).

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

224302300242000 is a wasteful number, since it uses less digits than its factorization.

224302300242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236815 (or 236799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 224302300242000 its reverse (242003203422), we get a palindrome (224544303445422).

The spelling of 224302300242000 in words is "two hundred twenty-four trillion, three hundred two billion, three hundred million, two hundred forty-two thousand".