22413146000 has 160 divisors (see below), whose sum is σ = 62216494080. Its totient is φ = 7649856000.

The previous prime is 22413145999. The next prime is 22413146027. The reversal of 22413146000 is 64131422.

It is a super-2 number, since 2×22413146000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3202505 + ... + 3209495.

It is an arithmetic number, because the mean of its divisors is an integer number (388853088).

Almost surely, 2^22413146000 is an apocalyptic number.

22413146000 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 22413146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108247040).

22413146000 is an abundant number, since it is smaller than the sum of its proper divisors (39803348080).

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

22413146000 is a wasteful number, since it uses less digits than its factorization.

22413146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22413146000 its reverse (64131422), we get a palindrome (22477277422).

The spelling of 22413146000 in words is "twenty-two billion, four hundred thirteen million, one hundred forty-six thousand".