226996000 has 288 divisors, whose sum is σ = 711075456. Its totient is φ = 69696000.

The previous prime is 226995973. The next prime is 226996001. The reversal of 226996000 is 699622.

226996000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226996001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387967 + ... + 3388033.

It is an arithmetic number, because the mean of its divisors is an integer number (2469012).

Almost surely, 2^226996000 is an apocalyptic number.

226996000 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 226996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728).

226996000 is an abundant number, since it is smaller than the sum of its proper divisors (484079456).

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

226996000 is a wasteful number, since it uses less digits than its factorization.

226996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 226996000 is about 15066.3864280723. The cubic root of 226996000 is about 610.0134369521.

The spelling of 226996000 in words is "two hundred twenty-six million, nine hundred ninety-six thousand".