2223108000 has 288 divisors, whose sum is σ = 8107903440. Its totient is φ = 576460800.

The previous prime is 2223107981. The next prime is 2223108001. The reversal of 2223108000 is 8013222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 376515216 + 1846592784 = 19404^2 + 42972^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2223108001) 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 47 ways as a sum of consecutive naturals, for example, 1331166 + ... + 1332834.

Almost surely, 2^2223108000 is an apocalyptic number.

2223108000 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 2223108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053951720).

2223108000 is an abundant number, since it is smaller than the sum of its proper divisors (5884795440).

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

2223108000 is a wasteful number, since it uses less digits than its factorization.

2223108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2223108000 is about 47149.8462351681. The cubic root of 2223108000 is about 1305.1292424956.

The spelling of 2223108000 in words is "two billion, two hundred twenty-three million, one hundred eight thousand".