226855440 has 480 divisors, whose sum is σ = 965652480. Its totient is φ = 46531584.

The previous prime is 226855439. The next prime is 226855441. The reversal of 226855440 is 44558622.

It is a happy number.

226855440 is a `hidden beast` number, since 2 + 2 + 68 + 554 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (226855439) and next prime (226855441).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226855395 and 226855404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226855441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2202429 + ... + 2202531.

It is an arithmetic number, because the mean of its divisors is an integer number (2011776).

Almost surely, 2^226855440 is an apocalyptic number.

226855440 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 226855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482826240).

226855440 is an abundant number, since it is smaller than the sum of its proper divisors (738797040).

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

226855440 is a wasteful number, since it uses less digits than its factorization.

226855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 226855440 is about 15061.7210172012. The cubic root of 226855440 is about 609.8875005292.

The spelling of 226855440 in words is "two hundred twenty-six million, eight hundred fifty-five thousand, four hundred forty".