2225305134 has 144 divisors (see below), whose sum is σ = 5682308112. Its totient is φ = 626476032.

The previous prime is 2225305133. The next prime is 2225305139. The reversal of 2225305134 is 4315035222.

It is a happy number.

2225305134 is a `hidden beast` number, since 2 + 225 + 305 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2225305098 and 2225305107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225305133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1912837 + ... + 1913999.

It is an arithmetic number, because the mean of its divisors is an integer number (39460473).

Almost surely, 2^2225305134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225305134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841154056).

2225305134 is an abundant number, since it is smaller than the sum of its proper divisors (3457002978).

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

2225305134 is a wasteful number, since it uses less digits than its factorization.

2225305134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2225305134 is about 47173.1399633308. The cubic root of 2225305134 is about 1305.5590611206.

The spelling of 2225305134 in words is "two billion, two hundred twenty-five million, three hundred five thousand, one hundred thirty-four".