224661248 has 72 divisors (see below), whose sum is σ = 515480448. Its totient is φ = 95726592.

The previous prime is 224661233. The next prime is 224661271. The reversal of 224661248 is 842166422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506915 + ... + 507357.

Almost surely, 2^224661248 is an apocalyptic number.

224661248 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 224661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257740224).

224661248 is an abundant number, since it is smaller than the sum of its proper divisors (290819200).

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

224661248 is an equidigital number, since it uses as much as digits as its factorization.

224661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 224661248 is about 14988.7040133562. The cubic root of 224661248 is about 607.9148080082.

The spelling of 224661248 in words is "two hundred twenty-four million, six hundred sixty-one thousand, two hundred forty-eight".