226344480 has 192 divisors, whose sum is σ = 743178240. Its totient is φ = 57867264.

The previous prime is 226344479. The next prime is 226344487. The reversal of 226344480 is 84443622.

It is not an unprimeable number, because it can be changed into a prime (226344487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1782177 + ... + 1782303.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2^226344480 is an apocalyptic number.

226344480 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 226344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371589120).

226344480 is an abundant number, since it is smaller than the sum of its proper divisors (516833760).

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

226344480 is a wasteful number, since it uses less digits than its factorization.

226344480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 226344480 is about 15044.7492501537. The cubic root of 226344480 is about 609.4292610197.

The spelling of 226344480 in words is "two hundred twenty-six million, three hundred forty-four thousand, four hundred eighty".