22230319104 has 300 divisors, whose sum is σ = 75933983664. Its totient is φ = 6348865536.

The previous prime is 22230319081. The next prime is 22230319147. The reversal of 22230319104 is 40191303222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 9288532 + ... + 9290924.

Almost surely, 2^22230319104 is an apocalyptic number.

22230319104 is a gapful number since it is divisible by the number (24) 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 22230319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966991832).

22230319104 is an abundant number, since it is smaller than the sum of its proper divisors (53703664560).

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

22230319104 is an frugal number, since it uses more digits than its factorization.

22230319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 22230319104 in words is "twenty-two billion, two hundred thirty million, three hundred nineteen thousand, one hundred four".