10214000 has 40 divisors (see below), whose sum is σ = 24702288. Its totient is φ = 4084800.

The previous prime is 10213999. The next prime is 10214027. The reversal of 10214000 is 41201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 7 ways as a sum of consecutive naturals, for example, 554 + ... + 4553.

Almost surely, 2^10214000 is an apocalyptic number.

10214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214000 is an abundant number, since it is smaller than the sum of its proper divisors (14488288).

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

10214000 is an equidigital number, since it uses as much as digits as its factorization.

10214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10214000 is about 3195.9349179857. The cubic root of 10214000 is about 216.9694648647.

Adding to 10214000 its reverse (41201), we get a palindrome (10255201).

The spelling of 10214000 in words is "ten million, two hundred fourteen thousand".