225482985 has 192 divisors, whose sum is σ = 528353280. Its totient is φ = 86261760.

The previous prime is 225482977. The next prime is 225483001. The reversal of 225482985 is 589284522.

225482985 = T₁ + T₂ + ... + T₁₁₀₅.

225482985 is a `hidden beast` number, since 2 + 2 + 548 + 29 + 85 = 666.

225482985 is nontrivially palindromic in base 8.

225482985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

225482985 is a nontrivial binomial coefficient, being equal to C(1107, 3).

It is not a de Polignac number, because 225482985 - 2³ = 225482977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225482985.

It is an unprimeable number.

It is the 1105-th tetrahedral number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2854176 + ... + 2854254.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^225482985 is an apocalyptic number.

It is an amenable number.

225482985 is an abundant number, since it is smaller than the sum of its proper divisors (302870295).

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

225482985 is a wasteful number, since it uses less digits than its factorization.

225482985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 225482985 is about 15016.0908694640. The cubic root of 225482985 is about 608.6550903535.

The spelling of 225482985 in words is "two hundred twenty-five million, four hundred eighty-two thousand, nine hundred eighty-five".