227148768 has 144 divisors (see below), whose sum is σ = 805424256. Its totient is φ = 58993920.

The previous prime is 227148767. The next prime is 227148787. The reversal of 227148768 is 867841722.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227148767) 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 23 ways as a sum of consecutive naturals, for example, 17055 + ... + 27297.

It is an arithmetic number, because the mean of its divisors is an integer number (5593224).

Almost surely, 2^227148768 is an apocalyptic number.

227148768 is a gapful number since it is divisible by the number (28) 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 227148768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402712128).

227148768 is an abundant number, since it is smaller than the sum of its proper divisors (578275488).

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

227148768 is a wasteful number, since it uses less digits than its factorization.

227148768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10266 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 227148768 is about 15071.4554041738. The cubic root of 227148768 is about 610.1502523363.

The spelling of 227148768 in words is "two hundred twenty-seven million, one hundred forty-eight thousand, seven hundred sixty-eight".