226771200 has 324 divisors, whose sum is σ = 843501568. Its totient is φ = 58060800.

The previous prime is 226771183. The next prime is 226771201. The reversal of 226771200 is 2177622.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (226771201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1785537 + ... + 1785663.

Almost surely, 2^226771200 is an apocalyptic number.

226771200 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 226771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421750784).

226771200 is an abundant number, since it is smaller than the sum of its proper divisors (616730368).

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

226771200 is a wasteful number, since it uses less digits than its factorization.

226771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 226771200 is about 15058.9242643690. The cubic root of 226771200 is about 609.8119997554.

The spelling of 226771200 in words is "two hundred twenty-six million, seven hundred seventy-one thousand, two hundred".