226296 has 48 divisors (see below), whose sum is σ = 702000. Its totient is φ = 64512.

The previous prime is 226283. The next prime is 226307. The reversal of 226296 is 692622.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

226296 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 11 ways as a sum of consecutive naturals, for example, 280 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (14625).

2²²⁶²⁹⁶ 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 226296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000).

226296 is an abundant number, since it is smaller than the sum of its proper divisors (475704).

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

226296 is a wasteful number, since it uses less digits than its factorization.

226296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 226296 is about 475.7057914300. The cubic root of 226296 is about 60.9385747345.

The spelling of 226296 in words is "two hundred twenty-six thousand, two hundred ninety-six".