22424442000 has 320 divisors, whose sum is σ = 75206686464. Its totient is φ = 5743411200.

The previous prime is 22424441999. The next prime is 22424442017. The reversal of 22424442000 is 24442422.

It is a super-2 number, since 2×22424442000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18425392 + ... + 18426608.

Almost surely, 2^22424442000 is an apocalyptic number.

22424442000 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 22424442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37603343232).

22424442000 is an abundant number, since it is smaller than the sum of its proper divisors (52782244464).

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

22424442000 is a wasteful number, since it uses less digits than its factorization.

22424442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22424442000 its reverse (24442422), we get a palindrome (22448884422).

The spelling of 22424442000 in words is "twenty-two billion, four hundred twenty-four million, four hundred forty-two thousand".