224513280 has 108 divisors (see below), whose sum is σ = 776832420. Its totient is φ = 59867136.

The previous prime is 224513279. The next prime is 224513347. The reversal of 224513280 is 82315422.

224513280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 192432384 = 5664^2 + 13872^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1776 + ... + 21264.

Almost surely, 2^224513280 is an apocalyptic number.

224513280 is a gapful number since it is divisible by the number (20) 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 224513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388416210).

224513280 is an abundant number, since it is smaller than the sum of its proper divisors (552319140).

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

224513280 is a wasteful number, since it uses less digits than its factorization.

224513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19516 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 224513280 is about 14983.7672165581. The cubic root of 224513280 is about 607.7813156286.

The spelling of 224513280 in words is "two hundred twenty-four million, five hundred thirteen thousand, two hundred eighty".