224132420230000 has 600 divisors, whose sum is σ = 577443924794880. Its totient is φ = 84235913280000.

The previous prime is 224132420229979. The next prime is 224132420230003. The reversal of 224132420230000 is 32024231422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224132420230003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 392526129715 + ... + 392526130285.

Almost surely, 2^{224132420230000} is an apocalyptic number.

224132420230000 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 224132420230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288721962397440).

224132420230000 is an abundant number, since it is smaller than the sum of its proper divisors (353311504564880).

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

224132420230000 is a wasteful number, since it uses less digits than its factorization.

224132420230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 224132420230000 its reverse (32024231422), we get a palindrome (224164444461422).

The spelling of 224132420230000 in words is "two hundred twenty-four trillion, one hundred thirty-two billion, four hundred twenty million, two hundred thirty thousand".