226856448 has 240 divisors, whose sum is σ = 807302496. Its totient is φ = 59719680.

The previous prime is 226856437. The next prime is 226856467. The reversal of 226856448 is 844658622.

226856448 is a `hidden beast` number, since 22 + 68 + 564 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419058 + ... + 419598.

Almost surely, 2^226856448 is an apocalyptic number.

226856448 is a gapful number since it is divisible by the number (28) 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 226856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403651248).

226856448 is an abundant number, since it is smaller than the sum of its proper divisors (580446048).

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

226856448 is a wasteful number, since it uses less digits than its factorization.

226856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 566 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 226856448 is about 15061.7544794755. The cubic root of 226856448 is about 609.8884038441. Note that the first 3 decimals are identical.

It can be divided in two parts, 2268 and 56448, that multiplied together give a cube (128024064 = 504³).

The spelling of 226856448 in words is "two hundred twenty-six million, eight hundred fifty-six thousand, four hundred forty-eight".