224676 has 27 divisors (see below), whose sum is σ = 575211. Its totient is φ = 73944.

The previous prime is 224669. The next prime is 224677. The reversal of 224676 is 676422.

224676 = T₄₇₃ + T₄₇₄.

The square root of 224676 is 474.

It is a perfect power (a square), and thus also a powerful number.

It is an Ulam number.

Its product of digits (4032) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224677) by changing a digit.

224676 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 8 ways as a sum of consecutive naturals, for example, 2805 + ... + 2883.

224676 is a Friedman number, since it can be written as (26+64*7)^2, using all its digits and the basic arithmetic operations.

2²²⁴⁶⁷⁶ is an apocalyptic number.

224676 is the 474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224676

224676 is an abundant number, since it is smaller than the sum of its proper divisors (350535).

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

224676 is a wasteful number, since it uses less digits than its factorization.

224676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The cubic root of 224676 is about 60.7928113615.

It can be divided in two parts, 224 and 676, that added together give a square (900 = 30²).

The spelling of 224676 in words is "two hundred twenty-four thousand, six hundred seventy-six".