226368000 has 320 divisors, whose sum is σ = 842624640. Its totient is φ = 59904000.

The previous prime is 226367989. The next prime is 226368007. The reversal of 226368000 is 863622.

226368000 is a `hidden beast` number, since 22 + 636 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226368007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727935 + ... + 1728065.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2^226368000 is an apocalyptic number.

226368000 is a gapful number since it is divisible by the number (20) 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 226368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

226368000 is an abundant number, since it is smaller than the sum of its proper divisors (616256640).

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

226368000 is an equidigital number, since it uses as much as digits as its factorization.

226368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226368000 is about 15045.5308979112. The cubic root of 226368000 is about 609.4503693759.

The spelling of 226368000 in words is "two hundred twenty-six million, three hundred sixty-eight thousand".