10222214400 has 324 divisors, whose sum is σ = 36922963168. Its totient is φ = 2697891840.

The previous prime is 10222214399. The next prime is 10222214419. The reversal of 10222214400 is 441222201.

10222214400 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 221 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5931939 + ... + 5933661.

Almost surely, 2^10222214400 is an apocalyptic number.

10222214400 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 10222214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461481584).

10222214400 is an abundant number, since it is smaller than the sum of its proper divisors (26700748768).

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

10222214400 is a wasteful number, since it uses less digits than its factorization.

10222214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222214400 its reverse (441222201), we get a palindrome (10663436601).

The spelling of 10222214400 in words is "ten billion, two hundred twenty-two million, two hundred fourteen thousand, four hundred".