10022204400 has 240 divisors, whose sum is σ = 34790106624. Its totient is φ = 2451594240.

The previous prime is 10022204399. The next prime is 10022204411. The reversal of 10022204400 is 440222001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10022204400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603277 + ... + 2607123.

Almost surely, 2^10022204400 is an apocalyptic number.

10022204400 is a gapful number since it is divisible by the number (10) 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 10022204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395053312).

10022204400 is an abundant number, since it is smaller than the sum of its proper divisors (24767902224).

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

10022204400 is a wasteful number, since it uses less digits than its factorization.

10022204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10022204400 its reverse (440222001), we get a palindrome (10462426401).

The spelling of 10022204400 in words is "ten billion, twenty-two million, two hundred four thousand, four hundred".