226460240 has 80 divisors (see below), whose sum is σ = 557107200. Its totient is φ = 85372416.

The previous prime is 226460219. The next prime is 226460263. The reversal of 226460240 is 42064622.

226460240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581966 + ... + 582354.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2^226460240 is an apocalyptic number.

226460240 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 226460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

226460240 is an abundant number, since it is smaller than the sum of its proper divisors (330646960).

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

226460240 is a wasteful number, since it uses less digits than its factorization.

226460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 226460240 is about 15048.5959477953. The cubic root of 226460240 is about 609.5331373588.

The spelling of 226460240 in words is "two hundred twenty-six million, four hundred sixty thousand, two hundred forty".