14202000 has 160 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 3772800.

The previous prime is 14201989. The next prime is 14202011. The reversal of 14202000 is 20241.

It is an interprime number because it is at equal distance from previous prime (14201989) and next prime (14202011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53869 + ... + 54131.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^14202000 is an apocalyptic number.

14202000 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 14202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

14202000 is an abundant number, since it is smaller than the sum of its proper divisors (36866160).

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

14202000 is a wasteful number, since it uses less digits than its factorization.

14202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14202000 is about 3768.5540993861. The cubic root of 14202000 is about 242.1678593160.

Adding to 14202000 its reverse (20241), we get a palindrome (14222241).

The spelling of 14202000 in words is "fourteen million, two hundred two thousand".