256224306 has 64 divisors (see below), whose sum is σ = 592558848. Its totient is φ = 73156608.

The previous prime is 256224299. The next prime is 256224317. The reversal of 256224306 is 603422652.

256224306 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 95475 + ... + 98121.

It is an arithmetic number, because the mean of its divisors is an integer number (9258732).

Almost surely, 2^256224306 is an apocalyptic number.

256224306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256224306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296279424).

256224306 is an abundant number, since it is smaller than the sum of its proper divisors (336334542).

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

256224306 is a wasteful number, since it uses less digits than its factorization.

256224306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 256224306 is about 16007.0080277359. The cubic root of 256224306 is about 635.1458164317.

Adding to 256224306 its reverse (603422652), we get a palindrome (859646958).

The spelling of 256224306 in words is "two hundred fifty-six million, two hundred twenty-four thousand, three hundred six".