224130022224 has 160 divisors (see below), whose sum is σ = 614732976000. Its totient is φ = 70257825792.

The previous prime is 224130022211. The next prime is 224130022229. The reversal of 224130022224 is 422220031422.

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

It is a junction number, because it is equal to n+sod(n) for n = 224130022194 and 224130022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224130022229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8939434 + ... + 8964470.

It is an arithmetic number, because the mean of its divisors is an integer number (3842081100).

Almost surely, 2^224130022224 is an apocalyptic number.

224130022224 is a gapful number since it is divisible by the number (24) 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 224130022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307366488000).

224130022224 is an abundant number, since it is smaller than the sum of its proper divisors (390602953776).

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

224130022224 is a wasteful number, since it uses less digits than its factorization.

224130022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25245 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224130022224 its reverse (422220031422), we get a palindrome (646350053646).

The spelling of 224130022224 in words is "two hundred twenty-four billion, one hundred thirty million, twenty-two thousand, two hundred twenty-four".