10238800 has 120 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 3417600.

The previous prime is 10238791. The next prime is 10238831. The reversal of 10238800 is 883201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57111 + ... + 57289.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^10238800 is an apocalyptic number.

10238800 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 10238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

10238800 is an abundant number, since it is smaller than the sum of its proper divisors (18821840).

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

10238800 is a wasteful number, since it uses less digits than its factorization.

10238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10238800 is about 3199.8124945065. The cubic root of 10238800 is about 217.1449264412.

The spelling of 10238800 in words is "ten million, two hundred thirty-eight thousand, eight hundred".