14819000 has 128 divisors (see below), whose sum is σ = 41558400. Its totient is φ = 4838400.

The previous prime is 14818997. The next prime is 14819003. The reversal of 14819000 is 91841.

14819000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14818997) and next prime (14819003).

It is a super-2 number, since 2×14819000² = 439205522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14819003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202964 + ... + 203036.

It is an arithmetic number, because the mean of its divisors is an integer number (324675).

Almost surely, 2^14819000 is an apocalyptic number.

14819000 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 14819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779200).

14819000 is an abundant number, since it is smaller than the sum of its proper divisors (26739400).

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

14819000 is a wasteful number, since it uses less digits than its factorization.

14819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 14819000 is about 3849.5454277096. The cubic root of 14819000 is about 245.6252252629.

The spelling of 14819000 in words is "fourteen million, eight hundred nineteen thousand".