10222304400 has 360 divisors, whose sum is σ = 44228817984. Its totient is φ = 2124057600.

The previous prime is 10222304371. The next prime is 10222304447. The reversal of 10222304400 is 440322201.

10222304400 is a `hidden beast` number, since 1 + 0 + 2 + 223 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258762 + ... + 295638.

Almost surely, 2^10222304400 is an apocalyptic number.

10222304400 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 10222304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22114408992).

10222304400 is an abundant number, since it is smaller than the sum of its proper divisors (34006513584).

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

10222304400 is a wasteful number, since it uses less digits than its factorization.

10222304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36919 (or 36905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10222304400 its reverse (440322201), we get a palindrome (10662626601).

The spelling of 10222304400 in words is "ten billion, two hundred twenty-two million, three hundred four thousand, four hundred".