226016784 has 160 divisors (see below), whose sum is σ = 765665280. Its totient is φ = 62467200.

The previous prime is 226016771. The next prime is 226016821. The reversal of 226016784 is 487610622.

226016784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92539 + ... + 94949.

It is an arithmetic number, because the mean of its divisors is an integer number (4785408).

Almost surely, 2^226016784 is an apocalyptic number.

226016784 is a gapful number since it is divisible by the number (24) 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 226016784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382832640).

226016784 is an abundant number, since it is smaller than the sum of its proper divisors (539648496).

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

226016784 is a wasteful number, since it uses less digits than its factorization.

226016784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2454 counting only the distinct ones).

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

The square root of 226016784 is about 15033.8545955453. The cubic root of 226016784 is about 609.1350133815.

It can be divided in two parts, 2260 and 16784, that added together give a square (19044 = 138²).

The spelling of 226016784 in words is "two hundred twenty-six million, sixteen thousand, seven hundred eighty-four".