2226345600 has 192 divisors, whose sum is σ = 7570586880. Its totient is φ = 574464000.

The previous prime is 2226345599. The next prime is 2226345607. The reversal of 2226345600 is 65436222.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2226345600² = 9913229461278720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2226345607) 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, 293860 + ... + 301340.

It is an arithmetic number, because the mean of its divisors is an integer number (39430140).

Almost surely, 2^2226345600 is an apocalyptic number.

2226345600 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 2226345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785293440).

2226345600 is an abundant number, since it is smaller than the sum of its proper divisors (5344241280).

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

2226345600 is a wasteful number, since it uses less digits than its factorization.

2226345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2226345600 is about 47184.1668359207. The cubic root of 2226345600 is about 1305.7625056038.

The spelling of 2226345600 in words is "two billion, two hundred twenty-six million, three hundred forty-five thousand, six hundred".