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14243229000 = 233353711131731
BaseRepresentation
bin11010100001111011…
…00110110101001000
31100202122011000001000
431100331212311020
5213132231312000
610313201455000
71012650306660
oct152075466510
940678130030
1014243229000
116049a27840
122916041460
13145cb20670
1499190d1a0
1558567b000
hex350f66d48

14243229000 has 2048 divisors, whose sum is σ = 72459878400. Its totient is φ = 2488320000.

The previous prime is 14243228981. The next prime is 14243229019. The reversal of 14243229000 is 92234241.

14243229000 is a `hidden beast` number, since 142 + 432 + 2 + 90 + 0 + 0 = 666.

14243229000 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 (14243228981) and next prime (14243229019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 459458985 + ... + 459459015.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 214243229000 is an apocalyptic number.

14243229000 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 14243229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36229939200).

14243229000 is an abundant number, since it is smaller than the sum of its proper divisors (58216649400).

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

14243229000 is a wasteful number, since it uses less digits than its factorization.

14243229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 14243229000 in words is "fourteen billion, two hundred forty-three million, two hundred twenty-nine thousand".