18229800 has 96 divisors (see below), whose sum is σ = 59014080. Its totient is φ = 4646400.

The previous prime is 18229787. The next prime is 18229811. The reversal of 18229800 is 892281.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13140 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (614730).

Almost surely, 2^18229800 is an apocalyptic number.

18229800 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 18229800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29507040).

18229800 is an abundant number, since it is smaller than the sum of its proper divisors (40784280).

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

18229800 is a wasteful number, since it uses less digits than its factorization.

18229800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 18229800 is about 4269.6369869112. The cubic root of 18229800 is about 263.1846977612.

The spelling of 18229800 in words is "eighteen million, two hundred twenty-nine thousand, eight hundred".