10224920400 has 120 divisors (see below), whose sum is σ = 33639213024. Its totient is φ = 2652940800.

The previous prime is 10224920393. The next prime is 10224920401. The reversal of 10224920400 is 402942201.

10224920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10224920400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224920401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70746 + ... + 159545.

Almost surely, 2^10224920400 is an apocalyptic number.

10224920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224920400 is an abundant number, since it is smaller than the sum of its proper divisors (23414292624).

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

10224920400 is a wasteful number, since it uses less digits than its factorization.

10224920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230349 (or 230338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10224920400 in words is "ten billion, two hundred twenty-four million, nine hundred twenty thousand, four hundred".