22000431400 has 96 divisors (see below), whose sum is σ = 51525720000. Its totient is φ = 8735966720.

The previous prime is 22000431359. The next prime is 22000431421. The reversal of 22000431400 is 413400022.

It is a super-3 number, since 3×22000431400³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27194196 + ... + 27195004.

It is an arithmetic number, because the mean of its divisors is an integer number (536726250).

Almost surely, 2^22000431400 is an apocalyptic number.

22000431400 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 22000431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25762860000).

22000431400 is an abundant number, since it is smaller than the sum of its proper divisors (29525288600).

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

22000431400 is a wasteful number, since it uses less digits than its factorization.

22000431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22000431400 its reverse (413400022), we get a palindrome (22413831422).

The spelling of 22000431400 in words is "twenty-two billion, four hundred thirty-one thousand, four hundred".