224777856 has 64 divisors (see below), whose sum is σ = 610996320. Its totient is φ = 73178112.

The previous prime is 224777821. The next prime is 224777857. The reversal of 224777856 is 658777422.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (224777857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9706 + ... + 23318.

Almost surely, 2^224777856 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 224777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305498160).

224777856 is an abundant number, since it is smaller than the sum of its proper divisors (386218464).

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

224777856 is a wasteful number, since it uses less digits than its factorization.

224777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13673 (or 13661 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 224777856 is about 14992.5933713951. The cubic root of 224777856 is about 608.0199670266.

The spelling of 224777856 in words is "two hundred twenty-four million, seven hundred seventy-seven thousand, eight hundred fifty-six".