224243434000 has 160 divisors (see below), whose sum is σ = 573929516160. Its totient is φ = 84504384000.

The previous prime is 224243433989. The next prime is 224243434021. The reversal of 224243434000 is 434342422.

It is a happy number.

It is a super-2 number, since 2×224243434000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224243434000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6861699 + ... + 6894301.

It is an arithmetic number, because the mean of its divisors is an integer number (3587059476).

Almost surely, 2^224243434000 is an apocalyptic number.

224243434000 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 224243434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286964758080).

224243434000 is an abundant number, since it is smaller than the sum of its proper divisors (349686082160).

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

224243434000 is a wasteful number, since it uses less digits than its factorization.

224243434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32826 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 224243434000 its reverse (434342422), we get a palindrome (224677776422).

The spelling of 224243434000 in words is "two hundred twenty-four billion, two hundred forty-three million, four hundred thirty-four thousand".