13822700 has 72 divisors (see below), whose sum is σ = 32622912. Its totient is φ = 5063680.

The previous prime is 13822687. The next prime is 13822723. The reversal of 13822700 is 722831.

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, 79814 + ... + 79986.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 2^13822700 is an apocalyptic number.

13822700 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 13822700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456).

13822700 is an abundant number, since it is smaller than the sum of its proper divisors (18800212).

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

13822700 is a wasteful number, since it uses less digits than its factorization.

13822700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 13822700 is about 3717.8891860840. The cubic root of 13822700 is about 239.9924766160.

The spelling of 13822700 in words is "thirteen million, eight hundred twenty-two thousand, seven hundred".