Search a number
-
+
14233000 = 235343331
BaseRepresentation
bin110110010010…
…110110101000
3222210010000011
4312102312220
512120424000
61225021304
7231656425
oct66226650
928703004
1014233000
118041511
124924834
132c444c2
141c66d4c
1513b22ba
hexd92da8

14233000 has 64 divisors (see below), whose sum is σ = 34182720. Its totient is φ = 5544000.

The previous prime is 14232979. The next prime is 14233001. The reversal of 14233000 is 33241.

14233000 is nontrivially palindromic in base 13.

14233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14233001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42835 + ... + 43165.

It is an arithmetic number, because the mean of its divisors is an integer number (534105).

Almost surely, 214233000 is an apocalyptic number.

14233000 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 14233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091360).

14233000 is an abundant number, since it is smaller than the sum of its proper divisors (19949720).

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

14233000 is a wasteful number, since it uses less digits than its factorization.

14233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 14233000 is about 3772.6648406663. The cubic root of 14233000 is about 242.3439318887.

Adding to 14233000 its reverse (33241), we get a palindrome (14266241).

The spelling of 14233000 in words is "fourteen million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 331 344 430 500 662 860 1000 1075 1324 1655 1720 2150 2648 3310 4300 5375 6620 8275 8600 10750 13240 14233 16550 21500 28466 33100 41375 43000 56932 66200 71165 82750 113864 142330 165500 284660 331000 355825 569320 711650 1423300 1779125 2846600 3558250 7116500 14233000