227080800 has 144 divisors (see below), whose sum is σ = 821353680. Its totient is φ = 60549120.

The previous prime is 227080757. The next prime is 227080853. The reversal of 227080800 is 8080722.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16344 + ... + 26856.

It is an arithmetic number, because the mean of its divisors is an integer number (5703845).

Almost surely, 2^227080800 is an apocalyptic number.

227080800 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 227080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410676840).

227080800 is an abundant number, since it is smaller than the sum of its proper divisors (594272880).

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

227080800 is a wasteful number, since it uses less digits than its factorization.

227080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 227080800 is about 15069.2003769278. The cubic root of 227080800 is about 610.0893893906.

The spelling of 227080800 in words is "two hundred twenty-seven million, eighty thousand, eight hundred".