22142345400 has 864 divisors, whose sum is σ = 92812028400. Its totient is φ = 4702924800.

The previous prime is 22142345363. The next prime is 22142345413. The reversal of 22142345400 is 454324122.

22142345400 is a `hidden beast` number, since 2 + 21 + 4 + 234 + 5 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 122333310 + ... + 122333490.

Almost surely, 2^22142345400 is an apocalyptic number.

22142345400 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 22142345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46406014200).

22142345400 is an abundant number, since it is smaller than the sum of its proper divisors (70669683000).

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

22142345400 is a wasteful number, since it uses less digits than its factorization.

22142345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22142345400 its reverse (454324122), we get a palindrome (22596669522).

The spelling of 22142345400 in words is "twenty-two billion, one hundred forty-two million, three hundred forty-five thousand, four hundred".