22320154400 has 144 divisors (see below), whose sum is σ = 55515196800. Its totient is φ = 8761359360.

The previous prime is 22320154399. The next prime is 22320154427. The reversal of 22320154400 is 445102322.

It is a happy number.

It is a super-3 number, since 3×22320154400³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11311814 + ... + 11313786.

It is an arithmetic number, because the mean of its divisors is an integer number (385522200).

Almost surely, 2^22320154400 is an apocalyptic number.

22320154400 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 22320154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757598400).

22320154400 is an abundant number, since it is smaller than the sum of its proper divisors (33195042400).

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

22320154400 is a wasteful number, since it uses less digits than its factorization.

22320154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 22320154400 its reverse (445102322), we get a palindrome (22765256722).

The spelling of 22320154400 in words is "twenty-two billion, three hundred twenty million, one hundred fifty-four thousand, four hundred".