225071040 has 112 divisors (see below), whose sum is σ = 722266272. Its totient is φ = 59375616.

The previous prime is 225071009. The next prime is 225071057. The reversal of 225071040 is 40170522.

225071040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225070998 and 225071016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91912 + ... + 94328.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^225071040 is an apocalyptic number.

225071040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361133136).

225071040 is an abundant number, since it is smaller than the sum of its proper divisors (497195232).

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

225071040 is a wasteful number, since it uses less digits than its factorization.

225071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 225071040 is about 15002.3678131154. The cubic root of 225071040 is about 608.2842046186.

The spelling of 225071040 in words is "two hundred twenty-five million, seventy-one thousand, forty".