2225606100 has 72 divisors (see below), whose sum is σ = 6486543168. Its totient is φ = 589152000.

The previous prime is 2225606093. The next prime is 2225606107. The reversal of 2225606100 is 16065222.

It is an interprime number because it is at equal distance from previous prime (2225606093) and next prime (2225606107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225606107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14025 + ... + 68175.

Almost surely, 2^2225606100 is an apocalyptic number.

2225606100 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 2225606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243271584).

2225606100 is an abundant number, since it is smaller than the sum of its proper divisors (4260937068).

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

2225606100 is a wasteful number, since it uses less digits than its factorization.

2225606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54305 (or 54298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2225606100 is about 47176.3298699676. The cubic root of 2225606100 is about 1305.6179161467.

The spelling of 2225606100 in words is "two billion, two hundred twenty-five million, six hundred six thousand, one hundred".