13822200 has 144 divisors (see below), whose sum is σ = 53099280. Its totient is φ = 3156480.

The previous prime is 13822157. The next prime is 13822217. The reversal of 13822200 is 222831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 12052 + ... + 13148.

It is an arithmetic number, because the mean of its divisors is an integer number (368745).

Almost surely, 2^13822200 is an apocalyptic number.

13822200 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 13822200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26549640).

13822200 is an abundant number, since it is smaller than the sum of its proper divisors (39277080).

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

13822200 is a wasteful number, since it uses less digits than its factorization.

13822200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13822200 is about 3717.8219430199. The cubic root of 13822200 is about 239.9895828812.

The spelling of 13822200 in words is "thirteen million, eight hundred twenty-two thousand, two hundred".