226918440 has 192 divisors, whose sum is σ = 859248000. Its totient is φ = 50858496.

The previous prime is 226918429. The next prime is 226918441. The reversal of 226918440 is 44819622.

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 = 226918395 and 226918404.

It is not an unprimeable number, because it can be changed into a prime (226918441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132711 + ... + 134409.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2^226918440 is an apocalyptic number.

226918440 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 226918440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

226918440 is an abundant number, since it is smaller than the sum of its proper divisors (632329560).

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

226918440 is a wasteful number, since it uses less digits than its factorization.

226918440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 226918440 is about 15063.8122664882. The cubic root of 226918440 is about 609.9439525679.

The spelling of 226918440 in words is "two hundred twenty-six million, nine hundred eighteen thousand, four hundred forty".