227768448 has 256 divisors, whose sum is σ = 703261440. Its totient is φ = 64880640.

The previous prime is 227768423. The next prime is 227768459. The reversal of 227768448 is 844867722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 227768397 and 227768406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5555308 + ... + 5555348.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^227768448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

227768448 is an abundant number, since it is smaller than the sum of its proper divisors (475492992).

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

227768448 is a wasteful number, since it uses less digits than its factorization.

227768448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 227768448 is about 15091.9994699178. Note that the first 3 decimals coincide. The cubic root of 227768448 is about 610.7045947682.

The spelling of 227768448 in words is "two hundred twenty-seven million, seven hundred sixty-eight thousand, four hundred forty-eight".