225006273040 has 40 divisors (see below), whose sum is σ = 553912504920. Its totient is φ = 84708243456.

The previous prime is 225006272987. The next prime is 225006273103. The reversal of 225006273040 is 40372600522.

It can be written as a sum of positive squares in 4 ways, for example, as 2074984704 + 222931288336 = 45552^2 + 472156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 225006272993 and 225006273011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82721535 + ... + 82724254.

It is an arithmetic number, because the mean of its divisors is an integer number (13847812623).

Almost surely, 2^225006273040 is an apocalyptic number.

225006273040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225006273040 is an abundant number, since it is smaller than the sum of its proper divisors (328906231880).

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

225006273040 is a wasteful number, since it uses less digits than its factorization.

225006273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165445819 (or 165445813 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 225006273040 its reverse (40372600522), we get a palindrome (265378873562).

The spelling of 225006273040 in words is "two hundred twenty-five billion, six million, two hundred seventy-three thousand, forty".