224380 has 24 divisors (see below), whose sum is σ = 508032. Its totient is φ = 82752.

The previous prime is 224363. The next prime is 224401. The reversal of 224380 is 83422.

224380 = T₁₀₇ + T₁₀₈ + ... + T₁₃₆.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

224380 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 172 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²²⁴³⁸⁰ is an apocalyptic number.

224380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224380 is an abundant number, since it is smaller than the sum of its proper divisors (283652).

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

224380 is a wasteful number, since it uses less digits than its factorization.

224380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 224380 is about 473.6876608061. The cubic root of 224380 is about 60.7661024113.

The spelling of 224380 in words is "two hundred twenty-four thousand, three hundred eighty".