22320142400 has 42 divisors (see below), whose sum is σ = 54921504330. Its totient is φ = 8928056320.

The previous prime is 22320142393. The next prime is 22320142421. The reversal of 22320142400 is 424102322.

It can be written as a sum of positive squares in 3 ways, for example, as 4974198784 + 17345943616 = 70528^2 + 131704^2 .

It is a super-3 number, since 3×22320142400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6973445 + ... + 6976644.

It is an arithmetic number, because the mean of its divisors is an integer number (1307654865).

Almost surely, 2^22320142400 is an apocalyptic number.

22320142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320142400 is an abundant number, since it is smaller than the sum of its proper divisors (32601361930).

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

22320142400 is a wasteful number, since it uses less digits than its factorization.

22320142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950111 (or 13950096 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22320142400 its reverse (424102322), we get a palindrome (22744244722).

The spelling of 22320142400 in words is "twenty-two billion, three hundred twenty million, one hundred forty-two thousand, four hundred".