2225889900 has 648 divisors, whose sum is σ = 8667195264. Its totient is φ = 472780800.

The previous prime is 2225889899. The next prime is 2225889907. The reversal of 2225889900 is 99885222.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2225889907) 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 215 ways as a sum of consecutive naturals, for example, 71802885 + ... + 71802915.

Almost surely, 2^2225889900 is an apocalyptic number.

2225889900 is a gapful number since it is divisible by the number (20) 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 2225889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).

2225889900 is an abundant number, since it is smaller than the sum of its proper divisors (6441305364).

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

2225889900 is a wasteful number, since it uses less digits than its factorization.

2225889900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2225889900 is about 47179.3376384196. The cubic root of 2225889900 is about 1305.6734094370.

The spelling of 2225889900 in words is "two billion, two hundred twenty-five million, eight hundred eighty-nine thousand, nine hundred".