2226787200 has 720 divisors, whose sum is σ = 9159491880. Its totient is φ = 532224000.

The previous prime is 2226787183. The next prime is 2226787219. The reversal of 2226787200 is 27876222.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 31363165 + ... + 31363235.

Almost surely, 2^2226787200 is an apocalyptic number.

2226787200 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 2226787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579745940).

2226787200 is an abundant number, since it is smaller than the sum of its proper divisors (6932704680).

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

2226787200 is a wasteful number, since it uses less digits than its factorization.

2226787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2226787200 is about 47188.8461397394. The cubic root of 2226787200 is about 1305.8488334111.

The spelling of 2226787200 in words is "two billion, two hundred twenty-six million, seven hundred eighty-seven thousand, two hundred".