224661324 has 48 divisors (see below), whose sum is σ = 562899456. Its totient is φ = 69484800.

The previous prime is 224661319. The next prime is 224661331. The reversal of 224661324 is 423166422.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224661291 and 224661300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (11727072).

Almost surely, 2^224661324 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 224661324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281449728).

224661324 is an abundant number, since it is smaller than the sum of its proper divisors (338238132).

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

224661324 is a wasteful number, since it uses less digits than its factorization.

224661324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15606 (or 15604 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 224661324 is about 14988.7065485985. The cubic root of 224661324 is about 607.9148765581.

The spelling of 224661324 in words is "two hundred twenty-four million, six hundred sixty-one thousand, three hundred twenty-four".