224088 has 16 divisors (see below), whose sum is σ = 560280. Its totient is φ = 74688.

The previous prime is 224071. The next prime is 224101. The reversal of 224088 is 880422.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9337 = 224088 / (2 + 2 + 4 + 0 + 8 + 8).

It is a nialpdrome in base 8 and base 12.

It is a congruent number.

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, 4645 + ... + 4692.

2²²⁴⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

224088 is an abundant number, since it is smaller than the sum of its proper divisors (336192).

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

224088 is a wasteful number, since it uses less digits than its factorization.

224088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 224088 is about 473.3793404871. The cubic root of 224088 is about 60.7397313674.

It can be divided in two parts, 2 and 24088, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 224088 in words is "two hundred twenty-four thousand, eighty-eight".