227350800 has 180 divisors, whose sum is σ = 818541360. Its totient is φ = 60600960.

The previous prime is 227350793. The next prime is 227350801. The reversal of 227350800 is 8053722.

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 (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (227350801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 96031 + ... + 98369.

It is an arithmetic number, because the mean of its divisors is an integer number (4547452).

Almost surely, 2^227350800 is an apocalyptic number.

227350800 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 227350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409270680).

227350800 is an abundant number, since it is smaller than the sum of its proper divisors (591190560).

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

227350800 is a wasteful number, since it uses less digits than its factorization.

227350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 227350800 is about 15078.1563859777. The cubic root of 227350800 is about 610.3310932134.

It can be divided in two parts, 227350 and 800, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 227350800 in words is "two hundred twenty-seven million, three hundred fifty thousand, eight hundred".