226378368 has 128 divisors (see below), whose sum is σ = 690009600. Its totient is φ = 72990720.

The previous prime is 226378363. The next prime is 226378387. The reversal of 226378368 is 863873622.

226378368 is a `hidden beast` number, since 2 + 2 + 637 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226378363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106080 + ... + 108192.

It is an arithmetic number, because the mean of its divisors is an integer number (5390700).

Almost surely, 2^226378368 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 226378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345004800).

226378368 is an abundant number, since it is smaller than the sum of its proper divisors (463631232).

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

226378368 is a wasteful number, since it uses less digits than its factorization.

226378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2149 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 226378368 is about 15045.8754481087. The cubic root of 226378368 is about 609.4596738197.

The spelling of 226378368 in words is "two hundred twenty-six million, three hundred seventy-eight thousand, three hundred sixty-eight".