224827280 has 20 divisors (see below), whose sum is σ = 522723612. Its totient is φ = 89930880.

The previous prime is 224827259. The next prime is 224827303. The reversal of 224827280 is 82728422.

224827280 is digitally balanced in base 2, 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 110166016 + 114661264 = 10496^2 + 10708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 224827280.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1405091 + ... + 1405250.

Almost surely, 2^224827280 is an apocalyptic number.

224827280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224827280 is an abundant number, since it is smaller than the sum of its proper divisors (297896332).

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

224827280 is a wasteful number, since it uses less digits than its factorization.

224827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810354 (or 2810348 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 224827280 is about 14994.2415613461. The cubic root of 224827280 is about 608.0645274312.

The spelling of 224827280 in words is "two hundred twenty-four million, eight hundred twenty-seven thousand, two hundred eighty".