226271200 has 72 divisors (see below), whose sum is σ = 557495568. Its totient is φ = 89671680.

The previous prime is 226271189. The next prime is 226271219. The reversal of 226271200 is 2172622.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89149 + ... + 91651.

It is an arithmetic number, because the mean of its divisors is an integer number (7742994).

Almost surely, 2^226271200 is an apocalyptic number.

226271200 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 226271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278747784).

226271200 is an abundant number, since it is smaller than the sum of its proper divisors (331224368).

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

226271200 is a wasteful number, since it uses less digits than its factorization.

226271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 226271200 is about 15042.3136518290. The cubic root of 226271200 is about 609.3634854717.

The spelling of 226271200 in words is "two hundred twenty-six million, two hundred seventy-one thousand, two hundred".