224929411252 has 72 divisors (see below), whose sum is σ = 495670559496. Its totient is φ = 88521818112.

The previous prime is 224929411247. The next prime is 224929411261. The reversal of 224929411252 is 252114929422.

It can be written as a sum of positive squares in 4 ways, for example, as 560458276 + 224368952976 = 23674^2 + 473676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224929411199 and 224929411208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263068 + ... + 720460.

Almost surely, 2^224929411252 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 224929411252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247835279748).

224929411252 is an abundant number, since it is smaller than the sum of its proper divisors (270741148244).

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

224929411252 is a wasteful number, since it uses less digits than its factorization.

224929411252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457617 (or 457608 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The spelling of 224929411252 in words is "two hundred twenty-four billion, nine hundred twenty-nine million, four hundred eleven thousand, two hundred fifty-two".