2005226600 has 96 divisors (see below), whose sum is σ = 5049702840. Its totient is φ = 736128000.

The previous prime is 2005226591. The next prime is 2005226603. The reversal of 2005226600 is 66225002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 515524 + 2004711076 = 718^2 + 44774^2 .

It is not an unprimeable number, because it can be changed into a prime (2005226603) 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, 468470 + ... + 472730.

Almost surely, 2^2005226600 is an apocalyptic number.

2005226600 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 2005226600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524851420).

2005226600 is an abundant number, since it is smaller than the sum of its proper divisors (3044476240).

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

2005226600 is a wasteful number, since it uses less digits than its factorization.

2005226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2005226600 is about 44779.7565871008. The cubic root of 2005226600 is about 1261.0176124598.

The spelling of 2005226600 in words is "two billion, five million, two hundred twenty-six thousand, six hundred".