2225440431 has 48 divisors (see below), whose sum is σ = 3372515328. Its totient is φ = 1412510400.

The previous prime is 2225440423. The next prime is 2225440433. The reversal of 2225440431 is 1340445222.

2225440431 is a `hidden beast` number, since 2 + 2 + 254 + 404 + 3 + 1 = 666.

It is not a de Polignac number, because 2225440431 - 2³ = 2225440423 is a prime.

It is a super-2 number, since 2×2225440431² = 9905170223858931522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2225440395 and 2225440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225440433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6413200 + ... + 6413546.

It is an arithmetic number, because the mean of its divisors is an integer number (70260736).

Almost surely, 2^2225440431 is an apocalyptic number.

2225440431 is a deficient number, since it is larger than the sum of its proper divisors (1147074897).

2225440431 is a wasteful number, since it uses less digits than its factorization.

2225440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2225440431 is about 47174.5739885375. The cubic root of 2225440431 is about 1305.5855196111.

Adding to 2225440431 its reverse (1340445222), we get a palindrome (3565885653).

The spelling of 2225440431 in words is "two billion, two hundred twenty-five million, four hundred forty thousand, four hundred thirty-one".