226752 has 28 divisors (see below), whose sum is σ = 600456. Its totient is φ = 75520.

The previous prime is 226741. The next prime is 226753. The reversal of 226752 is 257622.

226752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226752.

It is not an unprimeable number, because it can be changed into a prime (226753) by changing a digit.

226752 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, 399 + ... + 782.

2²²⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

226752 is an abundant number, since it is smaller than the sum of its proper divisors (373704).

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

226752 is a wasteful number, since it uses less digits than its factorization.

226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 226752 is about 476.1848380619. The cubic root of 226752 is about 60.9794788985.

The spelling of 226752 in words is "two hundred twenty-six thousand, seven hundred fifty-two".