2225305100 has 72 divisors (see below), whose sum is σ = 5135296320. Its totient is φ = 834104320.

The previous prime is 2225305091. The next prime is 2225305123. The reversal of 2225305100 is 15035222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 403562 + ... + 409038.

It is an arithmetic number, because the mean of its divisors is an integer number (71323560).

Almost surely, 2^2225305100 is an apocalyptic number.

2225305100 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 2225305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567648160).

2225305100 is an abundant number, since it is smaller than the sum of its proper divisors (2909991220).

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

2225305100 is a wasteful number, since it uses less digits than its factorization.

2225305100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2225305100 is about 47173.1396029563. The cubic root of 2225305100 is about 1305.5590544715.

The spelling of 2225305100 in words is "two billion, two hundred twenty-five million, three hundred five thousand, one hundred".