226440 has 96 divisors (see below), whose sum is σ = 800280. Its totient is φ = 55296.
The previous prime is 226433. The next prime is 226451. The reversal of 226440 is 44622.
226440 is a `hidden beast` number, since 22 + 644 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 1764 = 474^2 + 42^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 6138.
2226440 is an apocalyptic number.
226440 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 226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400140).
226440 is an abundant number, since it is smaller than the sum of its proper divisors (573840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226440 is a wasteful number, since it uses less digits than its factorization.
226440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 226440 is about 475.8571214136. The cubic root of 226440 is about 60.9514977706.
It can be divided in two parts, 2264 and 40, that added together give a square (2304 = 482).
The spelling of 226440 in words is "two hundred twenty-six thousand, four hundred forty".
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