2225226624 has 128 divisors (see below), whose sum is σ = 6218311680. Its totient is φ = 704071680.

The previous prime is 2225226613. The next prime is 2225226719. The reversal of 2225226624 is 4266225222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 629149 + ... + 632675.

It is an arithmetic number, because the mean of its divisors is an integer number (48580560).

Almost surely, 2^2225226624 is an apocalyptic number.

2225226624 is a gapful number since it is divisible by the number (24) 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 2225226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109155840).

2225226624 is an abundant number, since it is smaller than the sum of its proper divisors (3993085056).

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

2225226624 is a wasteful number, since it uses less digits than its factorization.

2225226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3616 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 2225226624 is about 47172.3078087134. The cubic root of 2225226624 is about 1305.5437073240.

The spelling of 2225226624 in words is "two billion, two hundred twenty-five million, two hundred twenty-six thousand, six hundred twenty-four".