226465840 has 80 divisors (see below), whose sum is σ = 564071040. Its totient is φ = 84254720.

The previous prime is 226465817. The next prime is 226465847. The reversal of 226465840 is 48564622.

226465840 is digitally balanced in base 3, 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 self number, because there is not a number n which added to its sum of digits gives 226465840.

It is not an unprimeable number, because it can be changed into a prime (226465847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120105 + ... + 121975.

It is an arithmetic number, because the mean of its divisors is an integer number (7050888).

Almost surely, 2^226465840 is an apocalyptic number.

226465840 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 226465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282035520).

226465840 is an abundant number, since it is smaller than the sum of its proper divisors (337605200).

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

226465840 is a wasteful number, since it uses less digits than its factorization.

226465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 226465840 is about 15048.7820105150. The cubic root of 226465840 is about 609.5381615777.

The spelling of 226465840 in words is "two hundred twenty-six million, four hundred sixty-five thousand, eight hundred forty".