2225134296 has 192 divisors, whose sum is σ = 7667712000. Its totient is φ = 577886400.

The previous prime is 2225134291. The next prime is 2225134309. The reversal of 2225134296 is 6924315222.

2225134296 is a `hidden beast` number, since 2 + 225 + 1 + 3 + 429 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2225134296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225134291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267561 + ... + 275751.

It is an arithmetic number, because the mean of its divisors is an integer number (39936000).

Almost surely, 2^2225134296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225134296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833856000).

2225134296 is an abundant number, since it is smaller than the sum of its proper divisors (5442577704).

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

2225134296 is a wasteful number, since it uses less digits than its factorization.

2225134296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8214 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2225134296 is about 47171.3291735563. The cubic root of 2225134296 is about 1305.5256507501.

The spelling of 2225134296 in words is "two billion, two hundred twenty-five million, one hundred thirty-four thousand, two hundred ninety-six".