226400256 has 144 divisors (see below), whose sum is σ = 666928080. Its totient is φ = 73973760.

The previous prime is 226400249. The next prime is 226400263. The reversal of 226400256 is 652004622.

226400256 is a `hidden beast` number, since 2 + 2 + 6 + 400 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (226400249) and next prime (226400263).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308586 + ... + 1308758.

It is an arithmetic number, because the mean of its divisors is an integer number (4631445).

Almost surely, 2^226400256 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 226400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333464040).

226400256 is an abundant number, since it is smaller than the sum of its proper divisors (440527824).

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

226400256 is a wasteful number, since it uses less digits than its factorization.

226400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226400256 is about 15046.6028059493. The cubic root of 226400256 is about 609.4793156013.

Adding to 226400256 its reverse (652004622), we get a palindrome (878404878).

The spelling of 226400256 in words is "two hundred twenty-six million, four hundred thousand, two hundred fifty-six".