227854080 has 288 divisors, whose sum is σ = 853574400. Its totient is φ = 57397248.

The previous prime is 227854057. The next prime is 227854139. The reversal of 227854080 is 80458722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656467 + ... + 656813.

It is an arithmetic number, because the mean of its divisors is an integer number (2963800).

Almost surely, 2^227854080 is an apocalyptic number.

227854080 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 227854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426787200).

227854080 is an abundant number, since it is smaller than the sum of its proper divisors (625720320).

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

227854080 is a wasteful number, since it uses less digits than its factorization.

227854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 227854080 is about 15094.8362031524. The cubic root of 227854080 is about 610.7811188346.

The spelling of 227854080 in words is "two hundred twenty-seven million, eight hundred fifty-four thousand, eighty".