22444513000 has 128 divisors (see below), whose sum is σ = 64640459520. Its totient is φ = 7103289600.

The previous prime is 22444512989. The next prime is 22444513033. The reversal of 22444513000 is 31544422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32322 + ... + 214321.

It is an arithmetic number, because the mean of its divisors is an integer number (505003590).

Almost surely, 2^22444513000 is an apocalyptic number.

22444513000 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 22444513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32320229760).

22444513000 is an abundant number, since it is smaller than the sum of its proper divisors (42195946520).

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

22444513000 is a wasteful number, since it uses less digits than its factorization.

22444513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246684 (or 246670 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 22444513000 in words is "twenty-two billion, four hundred forty-four million, five hundred thirteen thousand".