224506828 has 144 divisors (see below), whose sum is σ = 535719744. Its totient is φ = 81285120.

The previous prime is 224506819. The next prime is 224506829. The reversal of 224506828 is 828605422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224506829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075400 + ... + 3075472.

It is an arithmetic number, because the mean of its divisors is an integer number (3720276).

Almost surely, 2^224506828 is an apocalyptic number.

224506828 is a gapful number since it is divisible by the number (28) 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 224506828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267859872).

224506828 is an abundant number, since it is smaller than the sum of its proper divisors (311212916).

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

224506828 is a wasteful number, since it uses less digits than its factorization.

224506828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 224506828 is about 14983.5519153504. The cubic root of 224506828 is about 607.7754934895.

The spelling of 224506828 in words is "two hundred twenty-four million, five hundred six thousand, eight hundred twenty-eight".