22322220100400 has 480 divisors, whose sum is σ = 62358487372800. Its totient is φ = 7602406604800.

The previous prime is 22322220100381. The next prime is 22322220100423. The reversal of 22322220100400 is 400102222322.

It is a super-3 number, since 3×22322220100400³ (a number of 41 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 95 ways as a sum of consecutive naturals, for example, 677667131 + ... + 677700069.

It is an arithmetic number, because the mean of its divisors is an integer number (129913515360).

Almost surely, 2^{22322220100400} is an apocalyptic number.

22322220100400 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 22322220100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31179243686400).

22322220100400 is an abundant number, since it is smaller than the sum of its proper divisors (40036267272400).

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

22322220100400 is a wasteful number, since it uses less digits than its factorization.

22322220100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33157 (or 33146 counting only the distinct ones).

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

Adding to 22322220100400 its reverse (400102222322), we get a palindrome (22722322322722).

The spelling of 22322220100400 in words is "twenty-two trillion, three hundred twenty-two billion, two hundred twenty million, one hundred thousand, four hundred".