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14212000 = 2553111719
BaseRepresentation
bin110110001101…
…101110100000
3222202001012101
4312031232200
512114241000
61224340144
7231541255
oct66155640
928661171
1014212000
118027760
124914654
132c37a8a
141c5d42c
1513aae6a
hexd8dba0

14212000 has 192 divisors, whose sum is σ = 42456960. Its totient is φ = 4608000.

The previous prime is 14211997. The next prime is 14212031. The reversal of 14212000 is 21241.

14212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 747991 + ... + 748009.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 214212000 is an apocalyptic number.

14212000 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 14212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

14212000 is an abundant number, since it is smaller than the sum of its proper divisors (28244960).

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

14212000 is a wasteful number, since it uses less digits than its factorization.

14212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14212000 is about 3769.8806347151. The cubic root of 14212000 is about 242.2246848905.

Adding to 14212000 its reverse (21241), we get a palindrome (14233241).

The spelling of 14212000 in words is "fourteen million, two hundred twelve thousand".