226368864 has 96 divisors (see below), whose sum is σ = 665763840. Its totient is φ = 74825856.

The previous prime is 226368859. The next prime is 226368871. The reversal of 226368864 is 468863622.

226368864 is a `hidden beast` number, since 2 + 2 + 636 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108697 + ... + 110759.

It is an arithmetic number, because the mean of its divisors is an integer number (6935040).

Almost surely, 2^226368864 is an apocalyptic number.

226368864 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 226368864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332881920).

226368864 is an abundant number, since it is smaller than the sum of its proper divisors (439394976).

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

226368864 is a wasteful number, since it uses less digits than its factorization.

226368864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2195 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 226368864 is about 15045.5596107290. The cubic root of 226368864 is about 609.4511447571.

The spelling of 226368864 in words is "two hundred twenty-six million, three hundred sixty-eight thousand, eight hundred sixty-four".