225840419070 has 128 divisors (see below), whose sum is σ = 637833830400. Its totient is φ = 50095729152.

The previous prime is 225840419059. The next prime is 225840419117. The reversal of 225840419070 is 70914048522.

225840419070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2985171 + ... + 3059889.

It is an arithmetic number, because the mean of its divisors is an integer number (4983076800).

Almost surely, 2^225840419070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225840419070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318916915200).

225840419070 is an abundant number, since it is smaller than the sum of its proper divisors (411993411330).

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

225840419070 is a wasteful number, since it uses less digits than its factorization.

225840419070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75162.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 225840419070 in words is "two hundred twenty-five billion, eight hundred forty million, four hundred nineteen thousand, seventy".