224242302132 has 90 divisors (see below), whose sum is σ = 598337801698. Its totient is φ = 70811877024.

The previous prime is 224242302131. The next prime is 224242302217. The reversal of 224242302132 is 231203242422.

224242302132 is a `hidden beast` number, since 2 + 2 + 424 + 23 + 0 + 213 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 189543553956 + 34698748176 = 435366^2 + 186276^2 .

It is a super-2 number, since 2×224242302132² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224242302096 and 224242302105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224242302131) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4667658 + ... + 4715454.

Almost surely, 2^224242302132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224242302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299168900849).

224242302132 is an abundant number, since it is smaller than the sum of its proper divisors (374095499566).

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

224242302132 is an equidigital number, since it uses as much as digits as its factorization.

224242302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47883 (or 47821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224242302132 its reverse (231203242422), we get a palindrome (455445544554).

The spelling of 224242302132 in words is "two hundred twenty-four billion, two hundred forty-two million, three hundred two thousand, one hundred thirty-two".