225035040 has 96 divisors (see below), whose sum is σ = 711305280. Its totient is φ = 59802624.

The previous prime is 225035033. The next prime is 225035071. The reversal of 225035040 is 40530522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 225034998 and 225035016.

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, 181302 + ... + 182538.

It is an arithmetic number, because the mean of its divisors is an integer number (7409430).

Almost surely, 2^225035040 is an apocalyptic number.

225035040 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 225035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355652640).

225035040 is an abundant number, since it is smaller than the sum of its proper divisors (486270240).

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

225035040 is a wasteful number, since it uses less digits than its factorization.

225035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 225035040 is about 15001.1679545294. The cubic root of 225035040 is about 608.2517713048.

Adding to 225035040 its reverse (40530522), we get a palindrome (265565562).

The spelling of 225035040 in words is "two hundred twenty-five million, thirty-five thousand, forty".