226209456 has 160 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 67910400.

The previous prime is 226209443. The next prime is 226209491. The reversal of 226209456 is 654902622.

226209456 is a `hidden beast` number, since 22 + 620 + 9 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226209456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859981 + ... + 860243.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^226209456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226209456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

226209456 is an abundant number, since it is smaller than the sum of its proper divisors (488744784).

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

226209456 is a wasteful number, since it uses less digits than its factorization.

226209456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 226209456 is about 15040.2611679452. The cubic root of 226209456 is about 609.3080535212.

The spelling of 226209456 in words is "two hundred twenty-six million, two hundred nine thousand, four hundred fifty-six".