224229 has 8 divisors (see below), whose sum is σ = 306432. Its totient is φ = 145760.

The previous prime is 224221. The next prime is 224233. The reversal of 224229 is 922422.

224229 = 53² + 54² + ... + 93².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 224229 - 2³ = 224221 is a prime.

224229 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2²²⁴²²⁹ is an apocalyptic number.

It is an amenable number.

224229 is a deficient number, since it is larger than the sum of its proper divisors (82203).

224229 is a wasteful number, since it uses less digits than its factorization.

224229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867.

The product of its digits is 576, while the sum is 21.

The square root of 224229 is about 473.5282462536. The cubic root of 224229 is about 60.7524681888.

The spelling of 224229 in words is "two hundred twenty-four thousand, two hundred twenty-nine".