226287 has 24 divisors (see below), whose sum is σ = 368400. Its totient is φ = 137088.

The previous prime is 226283. The next prime is 226307. The reversal of 226287 is 782622.

It is not a de Polignac number, because 226287 - 2² = 226283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

226287 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 226287.

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 226287.

It is not an unprimeable number, because it can be changed into a prime (226283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7789 + ... + 7817.

It is an arithmetic number, because the mean of its divisors is an integer number (15350).

2²²⁶²⁸⁷ is an apocalyptic number.

226287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

226287 is a deficient number, since it is larger than the sum of its proper divisors (142113).

226287 is a wasteful number, since it uses less digits than its factorization.

226287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 226287 is about 475.6963317075. The cubic root of 226287 is about 60.9377668627.

The spelling of 226287 in words is "two hundred twenty-six thousand, two hundred eighty-seven".