227980800 has 180 divisors, whose sum is σ = 816292620. Its totient is φ = 60764160.

The previous prime is 227980793. The next prime is 227980801. The reversal of 227980800 is 8089722.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227980801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114211 + ... + 116189.

It is an arithmetic number, because the mean of its divisors is an integer number (4534959).

Almost surely, 2^227980800 is an apocalyptic number.

227980800 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 227980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408146310).

227980800 is an abundant number, since it is smaller than the sum of its proper divisors (588311820).

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

227980800 is a wasteful number, since it uses less digits than its factorization.

227980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 227980800 is about 15099.0330816248. The cubic root of 227980800 is about 610.8943255553.

The spelling of 227980800 in words is "two hundred twenty-seven million, nine hundred eighty thousand, eight hundred".