226300 has 36 divisors (see below), whose sum is σ = 513856. Its totient is φ = 86400.

The previous prime is 226283. The next prime is 226307. The reversal of 226300 is 3622.

226300 = T₁₀₅ + T₁₀₆ + ... + T₁₃₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3064 + ... + 3136.

2²²⁶³⁰⁰ is an apocalyptic number.

226300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256928).

226300 is an abundant number, since it is smaller than the sum of its proper divisors (287556).

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

226300 is a wasteful number, since it uses less digits than its factorization.

226300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 226300 is about 475.7099956907. The cubic root of 226300 is about 60.9389337817.

Adding to 226300 its reverse (3622), we get a palindrome (229922).

The spelling of 226300 in words is "two hundred twenty-six thousand, three hundred".