227342800 has 60 divisors (see below), whose sum is σ = 560989516. Its totient is φ = 88473600.

The previous prime is 227342743. The next prime is 227342831. The reversal of 227342800 is 8243722.

227342800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11370384 + 215972416 = 3372^2 + 14696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7120 + ... + 22480.

Almost surely, 2^227342800 is an apocalyptic number.

227342800 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 227342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280494758).

227342800 is an abundant number, since it is smaller than the sum of its proper divisors (333646716).

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

227342800 is a wasteful number, since it uses less digits than its factorization.

227342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 227342800 is about 15077.8910992221. The cubic root of 227342800 is about 610.3239343705.

The spelling of 227342800 in words is "two hundred twenty-seven million, three hundred forty-two thousand, eight hundred".