10434224200 has 24 divisors (see below), whose sum is σ = 24259571730. Its totient is φ = 4173689600.

The previous prime is 10434224161. The next prime is 10434224201. The reversal of 10434224200 is 242243401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5873383044 + 4560841156 = 76638^2 + 67534^2 .

It is not an unprimeable number, because it can be changed into a prime (10434224201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26085361 + ... + 26085760.

Almost surely, 2^10434224200 is an apocalyptic number.

10434224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434224200 is an abundant number, since it is smaller than the sum of its proper divisors (13825347530).

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

10434224200 is a wasteful number, since it uses less digits than its factorization.

10434224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52171137 (or 52171128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10434224200 its reverse (242243401), we get a palindrome (10676467601).

The spelling of 10434224200 in words is "ten billion, four hundred thirty-four million, two hundred twenty-four thousand, two hundred".