226360512 has 168 divisors, whose sum is σ = 765852672. Its totient is φ = 62553600.

The previous prime is 226360489. The next prime is 226360529. The reversal of 226360512 is 215063622.

226360512 is a `hidden beast` number, since 22 + 636 + 0 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124087 + ... + 125897.

Almost surely, 2^226360512 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 226360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382926336).

226360512 is an abundant number, since it is smaller than the sum of its proper divisors (539492160).

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

226360512 is a wasteful number, since it uses less digits than its factorization.

226360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 226360512 is about 15045.2820511947. The cubic root of 226360512 is about 609.4436493232.

The spelling of 226360512 in words is "two hundred twenty-six million, three hundred sixty thousand, five hundred twelve".