Search a number
-
+
2143224 = 2332172103
BaseRepresentation
bin1000001011001111111000
311000212221200
420023033320
51022040344
6113534200
724134316
oct10131770
94025850
102143224
111234266
12874360
135a06a5
143db0b6
152c5069
hex20b3f8

2143224 has 72 divisors (see below), whose sum is σ = 6225960. Its totient is φ = 665856.

The previous prime is 2143223. The next prime is 2143231. The reversal of 2143224 is 4223412.

2143224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21432242 = 9186818228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 25 + 1 + 4 + 313 + 213 + 219 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 2143197 and 2143206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20757 + ... + 20859.

22143224 is an apocalyptic number.

2143224 is a gapful number since it is divisible by the number (24) 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 2143224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112980).

2143224 is an abundant number, since it is smaller than the sum of its proper divisors (4082736).

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

2143224 is a wasteful number, since it uses less digits than its factorization.

2143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2143224 is about 1463.9754096295. The cubic root of 2143224 is about 128.9305557363.

Adding to 2143224 its reverse (4223412), we get a palindrome (6366636).

The spelling of 2143224 in words is "two million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 103 136 153 204 206 289 306 309 408 412 578 612 618 824 867 927 1156 1224 1236 1734 1751 1854 2312 2472 2601 3468 3502 3708 5202 5253 6936 7004 7416 10404 10506 14008 15759 20808 21012 29767 31518 42024 59534 63036 89301 119068 126072 178602 238136 267903 357204 535806 714408 1071612 2143224