22228424400 has 960 divisors, whose sum is σ = 92250095616. Its totient is φ = 4451328000.

The previous prime is 22228424333. The next prime is 22228424411. The reversal of 22228424400 is 442482222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 313076365 + ... + 313076435.

Almost surely, 2^22228424400 is an apocalyptic number.

22228424400 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 22228424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46125047808).

22228424400 is an abundant number, since it is smaller than the sum of its proper divisors (70021671216).

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

22228424400 is a wasteful number, since it uses less digits than its factorization.

22228424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 22228424400 in words is "twenty-two billion, two hundred twenty-eight million, four hundred twenty-four thousand, four hundred".