226015082304804 has 405 divisors, whose sum is σ = 656198161214211. Its totient is φ = 67803631683840.

The previous prime is 226015082304773. The next prime is 226015082304829. The reversal of 226015082304804 is 408403280510622.

The square root of 226015082304804 is 15033798.

It is a perfect power (a square), and thus also a powerful number.

226015082304804 is a `hidden beast` number, since 2 + 2 + 60 + 1 + 5 + 0 + 82 + 30 + 480 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150543329552100 + 75471752752704 = 12269610^2 + 8687448^2 .

It is a super-2 number, since 2×226015082304804² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226015082304804.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 144234257229 + ... + 144234258795.

Almost surely, 2^{226015082304804} is an apocalyptic number.

226015082304804 is the 15033798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226015082304804

226015082304804 is an abundant number, since it is smaller than the sum of its proper divisors (430183078909407).

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

226015082304804 is an equidigital number, since it uses as much as digits as its factorization.

226015082304804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 226015082304804 in words is "two hundred twenty-six trillion, fifteen billion, eighty-two million, three hundred four thousand, eight hundred four".