226352 has 40 divisors (see below), whose sum is σ = 523776. Its totient is φ = 92736.

The previous prime is 226337. The next prime is 226357. The reversal of 226352 is 253622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (226357) by changing a digit.

226352 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 7 ways as a sum of consecutive naturals, for example, 4793 + ... + 4839.

2²²⁶³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261888).

226352 is an abundant number, since it is smaller than the sum of its proper divisors (297424).

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

226352 is a wasteful number, since it uses less digits than its factorization.

226352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 226352 is about 475.7646476988. The cubic root of 226352 is about 60.9436010109.

Adding to 226352 its reverse (253622), we get a palindrome (479974).

The spelling of 226352 in words is "two hundred twenty-six thousand, three hundred fifty-two".