10022400 has 240 divisors, whose sum is σ = 38055600. Its totient is φ = 2580480.

The previous prime is 10022399. The next prime is 10022437. The reversal of 10022400 is 422001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345586 + ... + 345614.

It is an arithmetic number, because the mean of its divisors is an integer number (158565).

Almost surely, 2^10022400 is an apocalyptic number.

10022400 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 10022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027800).

10022400 is an abundant number, since it is smaller than the sum of its proper divisors (28033200).

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

10022400 is an equidigital number, since it uses as much as digits as its factorization.

10022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10022400 is about 3165.8174299855. The cubic root of 10022400 is about 215.6042134972.

Adding to 10022400 its reverse (422001), we get a palindrome (10444401).

It can be divided in two parts, 100 and 22400, that added together give a square (22500 = 150²).

The spelling of 10022400 in words is "ten million, twenty-two thousand, four hundred".