10224201800 has 24 divisors (see below), whose sum is σ = 23771269650. Its totient is φ = 4089680640.

The previous prime is 10224201787. The next prime is 10224201811. The reversal of 10224201800 is 810242201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8918535844 + 1305665956 = 94438^2 + 36134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25560305 + ... + 25560704.

Almost surely, 2^10224201800 is an apocalyptic number.

10224201800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224201800 is an abundant number, since it is smaller than the sum of its proper divisors (13547067850).

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

10224201800 is a wasteful number, since it uses less digits than its factorization.

10224201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51121025 (or 51121016 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 10224201800 in words is "ten billion, two hundred twenty-four million, two hundred one thousand, eight hundred".