20222240400 has 180 divisors, whose sum is σ = 70380015108. Its totient is φ = 5376983040.

The previous prime is 20222240387. The next prime is 20222240419. The reversal of 20222240400 is 404222202.

20222240400 is a `hidden beast` number, since 2 + 0 + 2 + 22 + 240 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8225424 + 20214014976 = 2868^2 + 142176^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1262844 + ... + 1278756.

Almost surely, 2^20222240400 is an apocalyptic number.

20222240400 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 20222240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35190007554).

20222240400 is an abundant number, since it is smaller than the sum of its proper divisors (50157774708).

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

20222240400 is a wasteful number, since it uses less digits than its factorization.

20222240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16290 (or 16276 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20222240400 its reverse (404222202), we get a palindrome (20626462602).

It can be divided in two parts, 2022 and 2240400, that added together give a palindrome (2242422).

The spelling of 20222240400 in words is "twenty billion, two hundred twenty-two million, two hundred forty thousand, four hundred".