224864 has 12 divisors (see below), whose sum is σ = 442764. Its totient is φ = 112416.

The previous prime is 224863. The next prime is 224869. The reversal of 224864 is 468422.

224864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹⁶ + 2¹⁶ + 8⁴ + 4⁷ + 6⁵ + 4⁸ .

224864 is a modest number, since divided by 864 gives 224 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3482 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (36897).

2²²⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

224864 is a deficient number, since it is larger than the sum of its proper divisors (217900).

224864 is an equidigital number, since it uses as much as digits as its factorization.

224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7029 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 224864 is about 474.1982707687. The cubic root of 224864 is about 60.8097629752.

The spelling of 224864 in words is "two hundred twenty-four thousand, eight hundred sixty-four".