224131296 has 96 divisors (see below), whose sum is σ = 625847040. Its totient is φ = 70032384.

The previous prime is 224131261. The next prime is 224131301. The reversal of 224131296 is 692131422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187276 + ... + 188468.

It is an arithmetic number, because the mean of its divisors is an integer number (6519240).

Almost surely, 2^224131296 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 224131296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312923520).

224131296 is an abundant number, since it is smaller than the sum of its proper divisors (401715744).

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

224131296 is a wasteful number, since it uses less digits than its factorization.

224131296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 224131296 is about 14971.0151960380. The cubic root of 224131296 is about 607.4364295282.

The spelling of 224131296 in words is "two hundred twenty-four million, one hundred thirty-one thousand, two hundred ninety-six".