224968 has 16 divisors (see below), whose sum is σ = 429660. Its totient is φ = 110400.

The previous prime is 224951. The next prime is 224969. The reversal of 224968 is 869422.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 33124 = 438^2 + 182^2 .

It is a super-2 number, since 2×224968² = 101221202048, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (224969) by changing a digit.

224968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258 + ... + 718.

2²²⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

224968 is a deficient number, since it is larger than the sum of its proper divisors (204692).

224968 is a wasteful number, since it uses less digits than its factorization.

224968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 224968 is about 474.3079168641. The cubic root of 224968 is about 60.8191364047.

The spelling of 224968 in words is "two hundred twenty-four thousand, nine hundred sixty-eight".