2226034800 has 360 divisors, whose sum is σ = 8563201920. Its totient is φ = 530956800.

The previous prime is 2226034781. The next prime is 2226034807. The reversal of 2226034800 is 84306222.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2226034800² = 9910461861622080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226034807) 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 71 ways as a sum of consecutive naturals, for example, 2652781 + ... + 2653619.

It is an arithmetic number, because the mean of its divisors is an integer number (23786672).

Almost surely, 2^2226034800 is an apocalyptic number.

2226034800 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 2226034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281600960).

2226034800 is an abundant number, since it is smaller than the sum of its proper divisors (6337167120).

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

2226034800 is a wasteful number, since it uses less digits than its factorization.

2226034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2226034800 is about 47180.8732432964. The cubic root of 2226034800 is about 1305.7017408730.

The spelling of 2226034800 in words is "two billion, two hundred twenty-six million, thirty-four thousand, eight hundred".