2225249856 has 168 divisors, whose sum is σ = 6596775224. Its totient is φ = 716636160.

The previous prime is 2225249849. The next prime is 2225249857. The reversal of 2225249856 is 6589425222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 392040000 + 1833209856 = 19800^2 + 42816^2 .

It is not an unprimeable number, because it can be changed into a prime (2225249857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4112946 + ... + 4113486.

Almost surely, 2^2225249856 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 2225249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298387612).

2225249856 is an abundant number, since it is smaller than the sum of its proper divisors (4371525368).

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

2225249856 is a wasteful number, since it uses less digits than its factorization.

2225249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 776 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2225249856 is about 47172.5540542379. The cubic root of 2225249856 is about 1305.5482507242.

The spelling of 2225249856 in words is "two billion, two hundred twenty-five million, two hundred forty-nine thousand, eight hundred fifty-six".