226470816 has 360 divisors, whose sum is σ = 803525184. Its totient is φ = 62000640.

The previous prime is 226470793. The next prime is 226470817. The reversal of 226470816 is 618074622.

226470816 is a `hidden beast` number, since 2 + 2 + 647 + 0 + 8 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (226470817) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4818505 + ... + 4818551.

Almost surely, 2^226470816 is an apocalyptic number.

226470816 is a gapful number since it is divisible by the number (26) 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 226470816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401762592).

226470816 is an abundant number, since it is smaller than the sum of its proper divisors (577054368).

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

226470816 is a wasteful number, since it uses less digits than its factorization.

226470816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 226470816 is about 15048.9473386015. The cubic root of 226470816 is about 609.5426258855.

The spelling of 226470816 in words is "two hundred twenty-six million, four hundred seventy thousand, eight hundred sixteen".